# Publications

### SCI, SCI-E, SSCI and AHCI

Ravi P. Agarwal, A. Özbekler (2017), Lyapunov type inequalities for mixed nonlinearities Riemann-Liouville fractional differential equations with a forcing term, Journal of Computational and Applied Mathematics, 314, pp. 69--78.

Ravi P. Agarwal, E. Çetin, A. Özbekler (2017), Lyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scales, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM), 111, pp. 231--246.

A. Özbekler (2017), Sturmian comparison theory for half-linear and nonlinear differential equations via Picone Identity, Mathematical Methods in the Applied Sciences, 40, pp. 3100--3110

Ü. Aksoy, A.O. Çelebi (2017), Schwarz problem for higher order linear equations in a polydisc, Complex Variables and Elliptic Equations , 62, 1558-1569

Ü. Aksoy, S. Ostrovska, A.Y. Özban (2017), Polynomial logistic distribution associated with a cubic polynomial, Communications in Statistics - Theory and Methods , 46, 7007-7019

A.Aydin, C.Köroğlu (2017), A Nonstandard Numerical Method for the Modified KdV Equation, Pramana–J. Phys., accepted for publication

B.Karasözen, A.Aydin (2017), Multisymplectic Integrators for Coupled Nonlinear Partial Differential Equations, Series: Computer Science and Robotics, Book: Computer Physics, Editors: Brian S. Doherty and Amy N. Molloy, Nova Science Publishers, 267-296

F. Atalan, B. Szepietowski (2017), Automorphisms of the mapping class group of a nonorientable surface, Geometriae Dedicata, 189(1), pp. 39-57

F. Sulak (2017), New Statistical Randomness Tests: 4-Bit Template Matching Tests, Turkish Journal of Mathematics, 41, pp. 80-95

A. Doğanaksoy, F. Sulak, M. Uğuz, O. Şeker, Z. Akcengiz (2017), Mutual Correlation of NIST Statistical Randomness Tests and Comparison of Their Sensitivities on Transformed Sequences, Turkish Journal of Electrical Engineering and Computer Sciences, 25-2, pp. 655-665

F. Sulak, M. Uğuz, O. Koçak, A. Doğanaksoy (2017), On the independence of statistical randomness tests included in the NIST test suite, Turkish Journal of Electrical Engineering and Computer Sciences

S. Ostrovska (2016), On the powers of polynomial logistic distribution, Brazilian Journal of Probability and Statistics, Vol. 30 (4), 676-690

S. Ostrovska (2016), Sup and Max Properties for the Numerical Radius of Operators in Banach Space, Numerical Functional Analysis and Optimization , Volume 37, Issue 4, pp. 492-498

Y. Lyubarsky, S. Ostrovska (2016), Induced Scattering Limits on Fast Radio Bursts From Stellar Coronae, Astrophysical Journal, Volume 818 (1)

S. Ostrovska (2016), On the q-Bernstein polynomials of the logarithmic function in the case q>1, Mathematica Slovaca, Volume 66 (1), pp. 73-78

S. Ostrovska (2016), The q-Versions of the Bernstein Operator: From Mere Analogies to Further Developments, Results in Mathematics, 69(3), pp. 275-295

Ravi P. Agarwal, A. Özbekler (2016), Lyapunov type inequalities for second order forced mixed nonlinear impulsive differential equations, Applied Mathematics and Computation, 282, pp. 216--225.

A. Özbekler (2016), On the oscillation of Volterra integral equations with positive and negative nonlinearities, Mathematical Methods in the Applied Sciences, 39, pp. 1388–1394.

Ravi P. Agarwal, A. Özbekler (2016), Lyapunov type inequalities for nth order forced differential equations with mixed nonlinearities, Communications on Pure and Applied Analysis, 15, pp. 2281--2300

Ü. Aksoy, E. Karapınar, İ. M. Erhan (2016), Fixed points of generalized \alpha-admisssible contractions on b-metric spaces with an application to boundary value problems, Journal of Nonlinear and Convex Analysis, 17, 1095-1108

B. Aydoğan, Ü. Aksoy, Ö. Uğur (2016), On the methods of pricing American options: case study, Annals of Operations Research, doi:10.1007/s10479-016-2267-4

F. Özbudak, B.G. Temür, O. Yayla (2016), FURTHER RESULTS ON FIBRE PRODUCTS OF KUMMER COVERS AND CURVES WITH MANY POINTS OVER FINITE FIELDS, Advances in Mathematics of Communications , Volume 10, No. 1, pp. 151-162

Atalan F., Guseinov, G. Sh. (2016), Solving an initial boundary value problem on the semi-infinite interval, Turkish J. Math., 40(2), 317-332

S. Ostrovska, A. Y. Özban, M. Turan (2015), How do singularities of functions affect the convergence of q-Bernstein polynomials?, Journal of Mathematical Inequalities

S. Ostrovska (2015), Norming subspaces isomorphic to l1, Acta Mathematica Sinica

S. Ostrovska, M. Turan (2015), Qualitative results on the convergence of the q-Bernstein polynomials, Carpathian Journal of Mathematics

D. Mishra, S. Ostrovska, T. Hacaloglu (2015), Assessing Team Work in Engineering Projects, International Journal of Engineering Education

A. Özbekler (2015), Sturmian theory for second order differential equations with mixed nonlinearities, Applied Mathematics and Computation, 259, pp. 379--389.

Ravi P. Agarwal, A. Özbekler (2015), Lyapunov type inequalities for even order differential equations with mixed nonlinearities, Journal of Inequalities and Applications, 142, pages 10.

A. Özbekler (2015), Picone type formula for half-linear impulsive differential equations with discontinuous solutions, Mathematical Methods in the Applied Sciences, 38, pp. 1592--1600.

Ravi P. Agarwal, A. Özbekler (2015), Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations, Applied Mathematics and Computation , 265, pp. 456--468.

Ravi P. Agarwal, A. Özbekler (2015), Lyapunov type inequalities for second order sub and super-half-linear differential equations, Dynamical Systems and Applications, 24, pp. 211--220.

U. Y. Abbas ve U. Yüksel (2015), Necessary and Sufficient Conditions for First Order Differential Operators to be Associated with a Disturbed Dirac Operator in Quaternionic Analysis, Advances in Applied Clifford Algebras, Volume 25, Issue 1, pp. 1-12

M. S. Ismail , K. S. AL-Basyouni, Ayhan Aydin (2015), A Conservative Finite Difference Schemes for the Chiral Nonlinear Schrödinger Equation, Boundary Value Problems, 89 ( DOI 10.1186/s13661-015-0350-4 ), 1-14

A. Doğanaksoy, F. Sulak, M. Uğuz, O. Şeker, Z. Akcengiz (2015), New Statistical Randomness Tests Based on Length of Runs, Mathematical Problems in Engineering, http://dx.doi.org/10.1155/2015/626408

R. Álvarez-Nodarse, J. Petronilho, N. C. Pinzon-Cortes, R. Sevinik-Adıgüzel (2015), On Linearly related sequences of the difference derivatives of discrete orthogonal polynomials, Journal of Computational and Applied Mathematics, 284, pp. 26-37

O. Korkmaz, I. Akman, S. Ostrovska (2014), Assessing Software Quality Using the Markov Decision Processes, HUMAN FACTORS AND ERGONOMICS IN MANUFACTURING & SERVICE INDUSTRIES, 24 (1), pp. 86-104

S. Ostrovska, A. Y. Özban (2014), On the q-Bernstein polynomials of rational functions with real poles, Journal of Mathematical Analysis and Applications

S. Ostrovska, M. Turan (2014), On the eigenvectors of the q-Bernstein operators, Mathematical methods in the applied sciences

S. Ostrovska (2014), Geometric properties of the Lupaş q-transform, Banach Journal of Mathematical Analysis

S. Ostrovska (2014), Constructing Stieltjes classes for M-indeterminate absolutely continuous probability distributions, ALEA - Latin American Journal of Probability and Mathematical Statistics

Sofiya Ostrovska, Ahmet Yaşar Özban (2014), On the q-Bernstein polynomials of rational functions with real poles, J. Math. Anal. Appl., 413, 547-556

Ü. Aksoy, E. Karapınar, İ. M. Erhan (2014), Weak $\psi$-contractions on partially ordered metric spaces and applications to boundary value problems, Boundary Value Problems, 149, 15 pp.

Ü. Aksoy, A.O. Çelebi (2014), Polyharmonic Robin problem for complex linear partial differential equations, Complex Variables and Elliptic Equations, 59, pp. 1679-1695

E. Karapinar, I. M. Erhan and U.Aksoy (2014), Weak \psi-contractions on partially ordered metric spaces and applications to boundary value problems, (2014), Boundary Value Problems , 2014

Ayhan Aydin and Gusein Sh. Guseinov (2014), Inverse spectral problem for finite Jacobi matrices with zero diagonal, Inverse Problems in Science and Engineering, http://dx.doi.org/10.1080/17415977.2014.979170

Hassen Aydi , Erdal Karapınar İnci M Erhan and Peyman Salimi (2014), Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings, Fixed point theory and applications, 2014:32, 13 pages

Nurcan Bilgili , Inci M Erhan, Erdal Karapınar and Duran Turkoglu (2014), A note on ‘Coupled ﬁxed point theorems for mixed g-monotone mappings in partially ordered metric spaces’, Fixed point theory and applications, 2014:120, 6 pages

Selma Gülyaz and İnci M Erhan (2014), Existence of solutions of integral equations via ﬁxed point theorems, Journal of inequalities and applications, 2014:138, 15 pages

N. Bilgili, E. Karapınar, İ.M. Erhan and D. Turkoğlu (2014), Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces, Applied Mathematics & Information Sciences, 8, 1541-1551

Özbudak F., Temur B.G. (2014), Finite number of fibre products of Kummer covers and curves with many points over finite fields, Designs, Codes and Cryptography, 70, 385-404

Atalan, F. , Korkmaz, M. (2014), Automorphisms of curve complexes on nonorientable surfaces, Groups, Geometry and Dynamics , 8 (1), 39-68

R. Álvarez-Nodarse, R. Sevinik Adıgüzel (2014), On the limit of generalized nonstandard q-Racah polynomials, Journal of Computational and Applied Mathematics, 259, pp. 877-886

K. Kaşkaloğlu, S. Ostrovska (2013), On the q-Bernstein polynomials of piecewise linear functions in the case q>1, Mathematical and Computer Modelling, 57, pp. 2419-2431

S. Ostrovska (2013), A Survey of Results on the Limit q-Bernstein Operator, Journal of Applied Mathematics, 7 pages

S. Ostrovska, A. Y. Özban (2013), On the q-Bernstein polynomials of unbounded functions with q>1, Abstract and Applied Analysis, 8 pages

S. Ostrovska, A. Y. Özban (2013), The q-Bernstein polynomials of the Cauchy kernel with a pole on [0, 1] in the case q > 1, Applied Mathematics and Computation, 220, pp. 735-747

Sofiya Ostrovska, Ahmet Yaşar Özban (2013), On the q-Bernstein Polynomials of Unbounded Functions with q>1, Abs. Appl. Anal., 2013, Article ID 349256, 7p.

Sofiya Ostrovska, Ahmet Yaşar Özban (2013), The q-Bernstein polynomials of the Cauchy kernel with a pole on [0, 1] in the case q>1, Appl. Math. Comput., 220, 735-747

Ü. Aksoy (2013), Preface [Special Issue: In honor of Prof. A. Okay Çelebi on the occasion of his 70th birthday], Complex Variables and Elliptic Equations, 58, 451-458

U. Yüksel (2013), Necessary and Sufficient Conditions for Associated Differential Operators in Quaternionic Analysis and Applications to Initial Value Problems, Advances in Applied Clifford Algebras, 23, 981–990

Karapınar E., Ravi.P. Agarwal (2013), Remarks on some coupled fixed point theorems in G-metric spaces, Fixed Point Theory and Applications (SpringerOpen), http://www.fixedpointtheoryandapplications.com/content/pdf/1687-1812-2013-2.pdf, 2013, 33 pages

E.Karapınar, İ.M:Erhan and A. Öztürk (2013), Fixed point theorems on quasi-partial metric spaces, Mathematical and Computer Modelling, 57, pp.2442-2448

Özbudak F., Temur B.G., Yayla O. (2013), An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over F5 and F7, Turkish Journal of Mathematics, 37, 908-913

C. Betin, M. Kuzucuoğlu (2013), On Locally Graded Barely Transitive Groups, Central European Journal of Mathematics, 11, 1188-1196

Atalan, F., Guseinov, G. Sh. (2013), On a Quadratic Eigenvalue Problem and its Applications, Mediterr. J. Math., 10 , 91–109

R. Álvarez-Nodarse, R. Sevinik Adıgüzel (2013), On the generalized Askey-Wilson polynomials, Journal of Approximation Theory, 170, 32-43

Ostrovska S. (2012), Analytical properties of the Lupaş q-transform, Journal of Mathematical Analysis and Applications, 394, pp. 177-185

Ostrovska S., A. Mishra, D. Mishra (2012), Impact of physical ambiance on communication, collaboration and coordination in agile software development: An empirical evaluation, Information and Software Technology, 54, 1067-1078

Ostrovska S., A. Y. Özban (2012), On the sets of convergence for sequences of q-Bernstein polynomials with q>1, Abstract and Applied Analysis, 2012, 19 pages

Ostrovska S. (2012), The functional-analytic properties of the limit q-Bernstein operator, Journal of Function Spaces and Applications, 2012, 8 pages

Ostrovska S. (2012), Functions whose smoothness is not improved under the limit q-Bernstein operator, Journal of Inequalities and Applications, 2012, 8 pages

Sofiya Ostrovska, Ahmet Yaşar Özban (2012), On the sets of convergence for sequences of the q-Bernstein polynomials with q>1, Abs. Appl. Anal., 2012, Article ID 185948, 19p

A. Özbekler, A. Zafer (2012), Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients, Applied Mathematics Letters, Volume 25, March 2012, Pages 294-300., Applied Matematics Letters, 25, pp. 294--300.

O. Došlý, A. Özbekler, R. Simon Hilscher (2012), Oscillation criterion for half-linear differential equations with periodic coefficients, Journal of Mathematical Analysis and Applications, 393, pp. 360--366.

Ü. Aksoy, A.O. Çelebi (2012), Dirichlet problem for a generalized inhomogeneous polyharmonic equation in an annular domain, Complex Variables and Elliptic Equations, 57, 229-241

Erhan İ., E. Karapınar (2012), Different types Meir- Keeler contractions on Partial metric spaces, Journal of Computational Analysis and Applications, 14, 1000-1005

Erhan İ., E. Karapınar, A.Yıldız-Ulus (2012), Fixed Point Theorem for Cyclic Maps on Partial Metric spaces, Applied Mathematics & Information Sciences, 6, 239-244

E. Karapınar and İ.M. Erhan (2012), Cyclic contractions and fixed point theorems, Filomat, 26(4), 777-782

E. Karapınar, A. Yıldız-Ulus and İ. M. Erhan (2012), Cyclic contractions on G-metric spaces, Abstract and Applied Analysis, 2012, 15 pages

E. Karapınar, İ.M. Erhan and T. Seculic (2012), Fixed points of (psi-phi) contractions on rectangular metric spaces, Fixed Point Theory and Applications, 2012, 12

H.Aydi, E.Karapınar and İnci m. Erhan (2012), Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions, Abstract and Applied Analysis, 2012, 22

E. Karapınar, P. Kumam, İ.M. Erhan (2012), Coupled fixed point theorems on partially ordered G-metric spaces, Fixed Point Theory and Applications, 2012, 13

R. Álvarez-Nodarse, R. Sevinik-Adıgüzel (2012), The q-Racah-Krall-type polynomials, Applied Mathematics and Computation, 23, pp. 11362–11369

R. Álvarez-Nodarse, R. Sevinik-Adıgüzel, H. Taseli (2012), On the orthogonality of q-classical polynomials of the Hahn class, Symmetry, Integrabilty and Geometry: Methods and Applications, 042, 30 pages

Ostrovska S. (2011), On the Lupaş q-transform, Computers and Mathematics with Applications , 61, 527-532

Ostrovska S. (2011), On the properties of the limit q-Bernstein operator, Studia Scientiarum Mathematicarum Hungarica , 48(2), 160-179

Ostrovska S., A. Y. Özban (2011), The norm estimates of the q-Bernstein operators for varying q>1, Computers and Mathematics with Applicatios, 62(12), 4758–-4771

Sofiya Ostrovska, Ahmet Yaşar Özban (2011), The norm estimates of the q-Bernstein operators for varying q>1, Comput. Math. Appl., 62, 4758-4771

Eid R. (2011), Fractional Dimensional Harmonic Oscillator, Romanian Journal of Physics, 56, pp.323-331

A. Özbekler, A. Zafer (2011), Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations, Computers and Mathematics with Applications, 61, pp. 933--940.

A. Özbekler, James S.W. Wong, A. Zafer (2011), Forced second-order nonlinear differential equations with positive and negative coefficients., Applied Mathematics Letters, 24, pp. 1225--1230.

U. Yüksel (2011), A Schwarz Problem For The Generalized Beltrami Equation, Complex Variables and Elliptic Equations, 56-6, 503-511

Karapınar E., Uğur YÜKSEL (2011), On Common Fixed Point Theorems Without Commuting Conditions in tvs-Cone Metric Spaces, J. Comput. Anal. Appl , 13 (6), 1115-1122

Karapınar E., Thabet ABDELJAWAD (2011), A Common Fixed Point Theorem of a Gregus Type on Convex Cone Metric Spaces, J. Comput. Anal. Appl , 13(4), 609-621

Erhan İ., Erdal Karapınar (2011), Best Proximity points on Different Type Contractions, Applied Mathematics & Information Science, 5(3), pp.342-353

Erhan İ., Erdal Karapınar (2011), Fixed point theorems for operators on partial metric spaces, Applied Mathematics Letters, 24, pp.1894-1899

R. Álvarez-Nodarse, R. Sevinik Adıgüzel (2011), On the Krall type polynomials on qquadratic lattices, Indagationes Mathematicae N.S., 21, pp. 181–203

Ostrovska S., Heping Wang (2010), The Norm Estimates for the q-Bernstein Operator in the case q>1, Mathematics of Computation, -, 79, pp. 353 -363

Ostrovska S., J. Stoyanov (2010), A new proof that the product of three or more exponential random variables is moment-indeterminate, Statistics and Probability Letters, 80, 792-796

Ostrovska S. (2010), On the approximation of analytic functions by the q-Bernstein polynomials in the case q > 1, Electronic Transactions on Numerical Analysis

Ostrovska S., I. Ostrovskii (2010), On the analyticity of functions approximated by their q-Bernstein polynomials when q > 1, Applied Mathematics and Computation, 217(1), 65-72

A. Özbekler, A. Zafer (2010), Principal and nonprincipal solutions of impulsive differential equations with applications, Applied Mathematics and Computation, 216, pp. 1158--1168.

A. Özbekler, A. Zafer (2010), Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions, Electronic Journal of Qualitative Theory of Differential Equations, 35, pp. 1--12.

U. Yüksel, A.O. Çelebi (2010), Solution of Initial Value Problems of Cauchy-Kovalevsky Type in the Space of Generalized Monogenic Functions, Adv. appl. Clifford alg., 20, 427-444

U. Yüksel (2010), Solution of Initial Value Problems with Monogenic Initial Functions in Banach Spaces with Lp-Norm, Adv. appl. Clifford alg., 20, 201-209

Karapınar E. (2010), Couple fixed point theorems for nonlinear contractions in cone metric spaces, Computers & Mathematics with Applications, 00-016

Karapınar E., V.P. ZAKHARYUTA (2010), On Orlicz-Power Series Spaces, Mediterr J. Math, 00-11

Karapınar E. (2010), Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces, Abstract and Applied Analysis, 2010, 1-14

Karapınar E. (2010), On Pairs of $\ell$-Köthe spaces, Hacet. J. Math. Stat., 39(3), 337--349

Aydın A. (2010), Multisymplectic box schems for the complex modified Korteweg-de Vries equation, Journal of Mathematical Physics

Aydın A., B. Karasözen (2010), Lobatto IIIA–IIIB discretization of the strongly coupled nonlinear Schrödinger equation, Journal of Computational and Applied Mathematics , 235, 4770–4779

Atalan, F. (2010), Outer automorphisms of mapping class groups of nonorientable surfaces, Internatinal Journal of Algebra and Computation

Atalan F., Korkmaz M. (2010), The number of pseudo-Anosov elements in the mapping class group of a four-holed sphere, Turkish Journal of Mathematics, 34(4), 585-592

Ostrovska S. (2009), On the image of the limit q-Bernstein operator, Mathematical Methods in the Applied Sciences, 32, 1964 – 1970

Ostrovska S., H. Wang (2009), The Convergence of q-Bernstein Polynomials (0< q< 1) and Limit q-Bernstein Operators in Complex Domains, The Rocky Mountain Journal of Mathematics, 39(4), pp. 1279-1291

Ostrovska S. (2009), The unicity theorems for the limit q-Bernstein operator, Applicable Analysis, 88(2), pp. 161 – 167

Ostrovska S. (2009), The convergence of q-Bernstein polynomials (0Mathematische Nachrichten , 282(2), pp. 243 – 252

Özban A.Y., Özdemir, H. , Sarduvan, M. , Güler, N. (2009), On idempotency and tripotency of linear combinations of two commuting tripotent matrices, Appl. Math. Comput., 207, 197-201

Eid R. (2009), On fractional Schrödinger equation in {\alpha}-dimensional Fractional Space, Journal of Nonlinear Analysis Series B: Real World Applications

A. Özbekler, A. Zafer (2009), Interval criteria for forced oscillation of super-half-linear differential equations under impulse effect, Mathematical and Computer Modelling, 50, pp. 59--65.

Ü. Aksoy, A.O. Çelebi (2009), Neumann problem for generalized n-Poisson equation, Journal of Mathematical Analysis and Applications, 357, 438–446

Karapınar E. (2009), Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory and Applications, Article ID 609281, 2009, 1-9

Aydın A. (2009), Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions, International Journal of Computer Mathematics

Aydın A. (2009), Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions, Chaos Solitons & Fractals

Aydın A. (2009), Semi-Explicit Multi-symplectic Integration of Nonlinear Schrodinger Equation, Further Progress in Analysis, Proceeding of the sixth International ISAAC Congress

Betin C., M. Kuzucuoğlu (2009), Description of Barely Transitive Groups with Soluble Point Stabilizer, Communications in Algebra

Akhmet M., Turan M. (2009), Differential equations on variable time scales, Nonlinear Analysis: Theory, Methods and Applications, 70, 1175-1192

Akhmet M., Turan M. (2009), Bifurcation of three-dimensional discontinuous cycles, Nonlinear Analysis: Theory, Methods and Applications, 71, e2090-e2102

Ü. Aksoy, A.O. Çelebi (2008), Schwarz problem for higher-order elliptic complex partial differential equations, Integral Transforms and Special Functions, 13, 3-12

Aydın A. (2008), Symplectic and multisymplectic Lobatto methods fort he “good” Boussinesq equation, Journal of Mathematical Physics

Aydın A. (2008), Multisymplectic Schemes fort he Complex Modified Korteweg-de Vries Equation, International Conference on Numerical Analysis and Applied Mathematics, American Institute of Physics Conference Proceedings

Özban A.Y. (2007), On The System of Rational Difference Equations xn=a/yn-3 , yn=byn-3/xn-q yn-p, Appl. Math. Comput., 118, 833-837

A. Özbekler, A. Zafer (2007), Forced oscillation of super-half-linear impulsive differential equations, Computers and Mathematics with Applications, 54, pp. 785--792.

Ü. Aksoy, A.O. Çelebi (2007), Norm estimates of a class of Calderon-Zygmund type strongly singular integral operators,, Integral Transforms and Special Functions, 18, 87-93

Karapınar E. (2007), Multirectangular characteristic invariants for power ℓ-Köthe spaces of first type, J. Math. Anal. Appl., doi:10.1016/j.jmaa.2007.01.049, 335(1), 79-92

Karapınar E., V.P. Zakharyuta (2007), On Nuclearity of Köthe Spaces, Turk J. Math., 31, 435--438,

Aydın A. (2007), Symplectic and mult,-symplectic methods for coupled nonlinear Schrödinger equations with periyodic solutions, Computer Physics Communications

Özbudak F., Temur B.G. (2007), Fibre products of Kummer covers and curves with many points, AAECC, 18, 433-443

Özban A.Y. (2006), A new refined form of Jordan’s inequality and its applications, Appl. Math. Lett., 19, 155-160

Özban A.Y. (2006), New Methods for Approximating Square Roots, Appl. Math. Comput., 185, 532-540

Özban A.Y. (2006), On The Positive Solutions of Systems of Rational Diffference equations xn+1=1/ yn-k , yn+1=yn / xn-m yn-m-k, J.Math.Anal.Appl., 323, 26-32

A. Özbekler, A. Zafer (2006), Picone’s formula for linear non-selfadjoint impulsive differential equations, Journal of Mathematical Analysis and Applications, 319, pp. 410--423.

Erhan İ., H. Taşeli (2006), A Model for the Computation of Quantum Billiard Systems with Arbitrary Shapes, Journal of Computational and Applied Mathematics, 194, pp. 227-244

Akhmet M., Turan M. (2006), The differential equations on time scales through impulsive differential equations, Nonlinear Analysis: Theory, Methods and Applications, 65, 2043-2060

Eid R. (2005), Higher Order Isoparametric Finite Element Solution of Stokes Flow, Applied Mathematics and Computation, 162, pp. 1083-1101

A. Özbekler, A. Zafer (2005), Sturmian comparison theory for linear and half-linear impulsive differential equations, Nonlinear Analysis (TMA), 63, pp. 289--297.

Özban A.Y. (2004), Some New Variants of Newton’s Method, Appl. Math. Lett. , 17, 677-682

Özban A.Y., Özdemir, H. (2004), On Idempotency of Linear Combinations of Idempotent Matrices, Appl. Math. Comput., 159, 439-448

Özban A.Y. (2004), Improved Convergence Criteria for Jacobi and Gauss-Seidel Iterations, Appl. Math. Comput., 152, 693-700

Ergenç T., Yazıcı A., Altaş İ. (2003), Romberg Integration: A Symbolic Approach with Mathematica, Lecture Notes in Computer Science, 2657, pp. 691-700

Özban A.Y. (2002), On Accelerated Iterative Methods for The Solution of Systems of Linear Equations, Int. J. Comput. Math, 79, 765-773

Eid R. (2002), Alternative Way to Compute the Exact Values for Some Infinite Series, Bulletin Mathematique, 45(93), pp. 17-27

Erhan İ., H. Taşeli, Ö. Uğur (2002), An Eigenfunction Expansion for the Schrödinger Equation with Arbitrary Non-Central Potential, Journal of Mathematical Chemistry, 32, pp. 323-338

Eid R. (1999), Higher order Finite Element solution of the one-dimensional Schrödinger equation, International Journal of Quantum Chemistry, 71, pp. 147-152

Özban A.Y., Karasözen, B. (1998), Modified Iterative Methods for The Solution of Systems of Linear Equations, Int. J. Comput. Math., 70, 179-196

Eid R. (1998), The confined system approximation for solving nonseparable potentials in three dimensions, Journal of Physics A: Mathematical and General, 31, pp. 3095-3114

Ergenç T., Hasçelik, Ali İhsan (1998), Order of Convergence of Evolution Operator Method, International Journal of Computer Mathematics, 70, pp. 279-288

Eid R. (1997), A new approach to the classical Stokes flow problem: Part II. Series solutions and higher order applications, Journal of Computational and Applied Mathematics, 78, pp. 233-254

Ergenç T., Karasözen B., Piskarev S. (1997), Approximation of semilinear Cauchy problem for the second order equations in banach Spaces, Nonlinear Analysis: Theory, Methods and Applications, 28, 1157-1165

Eid R. (1996), Eigenvalues of the two-dimensional Schrödinger equation with nonseparable potentials, International Journal of Quantum Chemistry, 59, pp. 183-201

Eid R. (1996), Converging bounds for the eigenvalues of multiminima potentials in two-dimensional space, Journal of Physics A: Mathematical and General, 29, pp. 6967-6982

Ergenç T., Karasözen B. (1996), Runge Kutta collocation methods for rigid body Lie-Poisson equations, International Journal of Computer Mathematics, 62, pp. 63-71

Ergenç T., Demiralp, M. (1994), Formulation of Some Gaussian Integrals over R^n via Generating Functions, International Journal of Comput. Math., 54, pp.239-248

BAŞKAYA O. (1986), 1. “ A subspace of a finite type power series space“, Tr. J. Math.

### Other Refereed Journals

A. Özbekler, A. Zafer (2017), Wong’s oscillation theorem for second-order delay differential equations,, Journal of Mathematical Sciences, 222, pp. 304–311.

F. Sulak, O. Koçak, E. Saygı, M. Öğünç, B. Bozdemir (2017), A second pre-image attack and a collision attack to cryptographic hash function lux, Ankara University Communications, Series A1: Mathematics and Statistics, 66, pp. 254-266

O. Koçak, F. Sulak, A. Doğanaksoy, M. Uğuz (2017), Modifications of Knuth Randomness Tests For Integer and Binary Sequences, Ankara University Communications, Series A1: Mathematics and Statistics

Ravi P. Agarwal, A. Özbekler (2016), Lyapunov type inequalities for second-order differential equations with mixed nonlinearities, Analysis, 36, pp. 245--252.

F. Sulak, O. Şeker (2016), On the success probabilities of differential attacks on Present, Ankara University Communications, Series A2-A3: Physics, Engineering Physics, Electronics/Computer Engineering, Astronomy and Geophysics, Vol:58, Issue:1, DOI: 10.1501/commua1-2_0000000090, pp.1-15

F. Sulak, B. Ege, O. Koçak (2013), Statistical Analysis of Reduced Round Compression Functions of SHA-3 Finalists, International Journal of Research and Reviews in Applied Sciences, Vol 15, 6 pages

F. Sulak (2013), A New Statistical Randomness Test: Saturation Point Test, International Journal of Information Security Science, Vol 2, No 3, 5 pages

Ü. Aksoy, A.O. Çelebi (2011), A hierarchy of singular integral operators for mixed boundary value problems, Proceedings of A. Razmadze Mathematical Institute, 156, 1-15

Aydın A. (2011), Lie-Poisson Integrators for a Rigid Satelllite on a Circular Orbit, TWMS J. App. Eng. Math., 1, 127-138

A. Özbekler, A. Zafer (2010), Leighton-Coles-Wintner type oscillation criteria for half-linear impulsive differential equations, Advances in Dynamical Systems and Applications, 5, pp. 205--214.

Ü. Aksoy, A.O. Çelebi (2010), Mixed boundary value problems for higher-order complex partial differential equations, Analysis (Munich), 30, 157-169

Ü. Aksoy, A.O. Çelebi (2010), Dirichlet problems for the generalized n-Poisson equation, Oper. Theory Adv. Appl., 129-141

Ü. Aksoy, A.O. Çelebi (2010), A Survey on Boundary Value Problems for Complex Partial Differential Equations, Advances in Dynamical Systems and Applications, 5, 133-158

Ahmet M., Aruğaslan D., Turan M. (2009), Hopf bifurcation for a 3D Filippov system, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis , 16, 759-775

Karapınar E. (2007), On ℓ-Köthe spaces, Int.J. Pure Appl. Math., 38(2), 221-224

Karapınar E. (2007), Nuclearity and Multipliers between Banach Spaces, Int. J. Contemp. Math. Sci . , 32(2), 1601-1606

Karapınar E., M.Yurdakul,V.P. Zakharyuta (2006), Isomorphisms of Cartesian products of l-power series spaces, Bull. Polish Acad. Sci. Math, 54, 103-111

Aydın A. (2006), Soliton çözümlü lineer olmayan ikili Schrödinger denkleminin çoklu simplektik sayısal yöntemlerle çözümü, Dumpupınar Üniversitesi XIX Ulusal Matematik Sempozyumu Bildiri Kitabı

Aydın A. (2005), Lineer olmayan ikili Schrödinger denkleminin çoklu-simplektik yapısı ve Preissman yöntemi, Y.Y.Ü. Fen Bilimleri Enstitüsü Dergisi, XVI. Ulusal Matemetik Sempozyumu, 263-275

Özban A.Y., Galvin, W.P. , Eggleton, R.B. (2001), An Inequality For The Digits of an Integer, Austral. Math. Soc. Gaz., 28, 9-10

Eid R. (1990), Finite Element Penalty Solution of the Stokes Equation, Doğa-Tr. Journal of Mathematics , 14, pp. 168-185

BAŞKAYA O. (1985), 2 . “ Karisik tipte kuvvet serisi uzaylari uzerine”, Ataturk Univ. Fen Bil. Dergisi

### International Conference Proceedings

A.Aydin (2017), A convergent two-level linear scheme for the Generalized Rosenau-KdV-RLWeqution, 4th INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS (ICRAPAM 2017),, 48

M. Özhavzalı, A.Aydin (2017), An Application for Certain Generalized Bernstein Operators in the Approximation Theory, INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING (ICOME 2017), 75

F. Sulak, B. A. Özdemir, B. Bozdemir (2017), Statistical Randomness Testing of Some Second Round Candidate Algorithms of CAESAR Competition, ICCAM 2017: 19th International Conference on Computational and Applied Mathematics, Dubai

S.Ertuğ, A. Aydin (2016), Dispersive Properties of Conservative Schemes for Three Coupled Nonlinear Schrödinger Equation, 3rd INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS,(ICRAPAM 2016), 80

M. Özhavzalı, A.Aydin (2016), A Comparison for Some Linear Positive Opeators by calculating the errors in the approximations, The 12th International Conference on Approximation Theory and its Applications (ICATA 2016) , Abstract book, 21

M. Uğuz, F. Sulak, A. Doğanaksoy (2016), A New Randomness Test Based on the Overlapping Blocks, The Combinatorics 2016

F. Sulak, N. Koçak, O.Koçak, B.Özdemir, B.Bozdemir (2016), Improvement on Bit Diffusion Analysis of Pi-Cipher, The 16th Central European Conference on Cryptology

S. Ertuğ, A. Aydin (2015), A Conservative Two-Step Scheme for Three Coupled Nonlinear Schrödinger Equation, 2nd INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN PURE AND APPLIED MATHEMATICS (ICRAPAM 2015),Abstract Book, 144

Sevim Ertug, Ayhan Aydın (2014), Energy conservation for the 3-coupled nonlinear Schr ¨ odinger equation by using the Average Vector Field method, ICRAPAM 2014 Conference Abstract Book, p.102

O. Korkmaz, I. Akman, S. Ostrovska (2013), A Simulation Model Based on Markov Decision Process To Assess Software Quality, The 4th International Conference on Engineering, Project, and Production Management, Bangkok-Thailand, pp. 1095-1107

A. Özbekler, A. Zafer (2013), Forced oscillation of second-order impulsive differential equations with mixed nonlinearities, Differential and Difference Equations, Springer Proceedings in Mathematics and Statistics, 47, pp. 183--195.

Ü. Aksoy, A.O. Çelebi (2012), Boundary value problems for higher-order linear complex partial differential equations, Interactions between real and complex analysis, Science and Technics Publishing House, Hanoi, 303-331

U. Yüksel (2012), Solution of Initial Value Problems for Generalized Monogenic Functions in Banach Spaces with a Weighted Sup-Norm, XX. International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Hanoi Vietnam, 30 July-3 August, Science and Technics Publishing House, Hanoi, 360-364

O. Koçak, F. Sulak, A. Doğanaksoy (2012), Kanarya: A Lightweight Block Cipher, International Conference on Applied and Computational Mathematics

A. Özbekler, A. Zafer (2011), Second-order oscillation of mixed nonlinear dynamic equations with several positive and negative coefficients, Discrete and Continuous Dynamical Systems, http://aimsciences.org/index.html, Supplement 2011, pp. 1167--1175.

C. Akkayonlu, B.Karasözen, A.Aydin (2011), Energy preserving methods for nonlinear Schrödinger equation., Equadiff 2011, 117

C. Akkayonlu, B.Karasözen, A.Aydin (2011), Energy Preserving Integration of the Zakharov System, International Conference on Applied Analysis and Algebra, 181

G.Şimşek, B.Karasözen, A.Aydin (2011), Energy preserving methods for KdV type equations., International Conference on Applied Analysis and Algebra, 156

Ostrovska S. (2010), New perspectives in teaching the concept of independence for engineers, Proceedings of International Engineering Education Conference, Antalya, 107-111

Karapınar E. (2010), Some Fixed Point Theorems on the Cone Banach Spaces, Proc. of 7 ISAAC Congress, World Scientic, London, 606-612

A.Aydın, B.Karasözen (2010), Operator Splitting of the KdV-Burgers Type Equation with Fast and Slow Dynamics, AIP Conference Proceedings, 1309, 562-566

F. Sulak, A.Doğanaksoy, B.Ege, O.Koçak (2010), Evaluation of Randomness Test Results for Short Sequences, Sequences and Their Applications

A. Doğanaksoy, B. Ege, O. Koçak, F. Sulak (2010), Statistical Testing of Some SHA-3 Candidates, 4th International Information Security and Cryptology Conference

A. Özbekler, A. Zafer (2009), Oscillation criteria for second order nonlinear impulsive differential equations, Further Progress in Analysis, Proceedings of the 6th International Society for Analysis its Applications and Computation (ISAAC) Congress, Ankara-TURKEY, 13-18 August 2007, edited by H.G.W. Begehr (Freie Universität Berlin, Germany), A.O. Çelebi (Yeditepe University, Turkey) & R.P. Gilbert (University of Delaware, USA), -, pp. 545--555.

Ü. Aksoy, A.O. Çelebi (2009), Neumann problem for generalized Poisson and bi-Poisson equations, Further progress in analysis, World Sci. Publ., Hackensack, NJ, 311-320

U. Yüksel (2009), First order differential operators associated to the Cauchy-Riemann operator of Clifford analysis, 6th International ISAAC Congress: Further Progress in Analysis, World Scientific Publ., ---, 395-403

Karapınar E. (2009), On complemented subspaces of "E_0^(l_2)(a) X E_{\infty}^(l_2)(b)", Proc. of 6 ISAAC Congress, World Scientic, Ankara, 794-797

A.Aydin, B.Karasözen (2009), Lobatto IIIA-IIIB Discretization for the Strongly Coupled Nonlinear Schrödinger Equation, 23rd Biennial Numerical Conference, Abstract Book, İskoçya-Glasgow, 28

B.Karasözen, A.Aydin (2009), Lobatto IIIA – IIIB discretization of strongly coupled nonlinear Schrödinger equation, 14th International Conference on Computational and Appplied Mathematics, 81

B.Karasözen, A.Aydin (2008), Multisymplectic Splitting Schemes for the Complex Modified Korteweg-de Vries Equation, Workshop on Geometric Integration, Abstract book, , 2

Akhmet M., Turan M. (2008), A new class of differential equations: systems on variable time scales with transition conditions, Proceedings of the Fifth International Conference on Dynamic Systems and Applications held at Morehouse College, Atlanta, USA, May 30-June 2, 2007. Proceedings of Dynamic Systems and Applications, 5, 21-27

A. Doğanaksoy, A. Darbuka, D. Özberk, N. Öztop, F. Sulak (2008), A Survey of the Attacks on AES, 3rd International Information Security and Cryptology Conference

A. Doğanaksoy, A. Darbuka, D. Özberk, N. Öztop, F. Sulak (2008), A Survey of the Related-Key Attacks on AES, 3rd International Information Security and Cryptology Conference

B.Karasözen, A.Aydin (2007), Symplectic and multi-symplectic Lobatto methods for the "good" Boussinesq equation., ISAAC(International Society for Analysis, its Applications and Computation), 101

A. Doğanaksoy, O. Özen, F. Sulak, K. Varıcı, E. Yüce (2007), Cryptanalysis of the Dedicated Hash Functions, 1st International Information Security and Cryptology Conference

Erhan İ. (2005), An Expansion Method for Schrödinger Equation of Quantum Billiards with Arbitrary Shapes, Proceedings of World Academy of Science Engineering and Technology , 5, pp.176-179

### National Conference Proceedings

A.Aydin (2016), Fisher denklemi için sömürmeli sayısal bir yöntem, 29. ULUSAL MATEMATİK SEMPOZYUMU Özet Kitapçığı, Mersin, 24

B. Özdemir, F.Sulak (2016), Çalışma Modları, 11. Ankara Matematik Günleri

B. Bozdemir, F. Sulak, M. Uğuz (2016), Cebirsel Kriptoanaliz ve Acorn Algoritmasına Uygulanması, 11. Ankara Matematik Günleri

B. Bozdemir, O. Koçak, M. Öğünç, E. Saygı, F. Sulak (2015), Observations on SHA - 3 Candidate Algorithm LUX, II. Ulusal Kripto Günleri Çalıştayı

A. Doğanaksoy, Ç. Çalık, F. Sulak, M. S. Turan (2006), New Randomness Tests Using Random Walk, 2. Ulusal Kriptoloji Sempozyumu

A. Doğanaksoy, B. G. Dündar, F. Göloğlu, Z. Saygı, F. Sulak, M. Uğuz (2006), A Survey on Bent Functions and Normality, 2. Ulusal Kriptoloji Sempozyumu

A. Doğanaksoy, Ç. Çalık, F. Sulak (2006), Observations on Hellmann's Cryptanalytic Time_Memory Trade-Off, 2. Ulusal Kriptoloji Sempozyumu

A. Doğanaksoy, B. G. Dündar, F. Göloğlu, Z. Saygı, F. Sulak, M. Uğuz (2005), Constructions of Highly Nonlinear Balanced Boolean Functions, 1. Ulusal Kriptoloji Sempozyumu

### Notes

A. Özbekler (2012), A proposed geometry problem, Pi Mu Epsilon Journal, Problem Department Section, Prb. no: 1255.

Eid R. (2005), Ordinary Differential Equations: Problem Book with Solutions, Atilim University publications

### Book Chapters

S. Ostrovska, A. Y. Özban (2016), Approximation of discontinuous functions by q-Bernstein polynomials, Mathematical Analysis, Approximation Theory and Their Applications, pp. 501-515

Ostrovska S., A. Y. Özban (2013), Non-asymptotic norm estimates for the q-Berstein operators, Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012, Chapter 24, 377 – 386

### Books

E. Aydın, A. Ö. Kişisel, E. Saygı, F. Sulak, Ç. Ürtiş, Y. Ölmez, A. D. Geçim (2015), Ortaokul ve İmam Hatip Ortaokulu Zekâ Oyunları Kitabı (5, 6, 7 ve 8. sınıflar), Milli Eğitim Yayınları

A. Doğanaksoy, Z. Saygı, F. Sulak, M. Uğuz, Ç. Ürtiş (2010), Yarışmalara Hazırlananlar İçin Çözümlü Matematik Problemleri

### Articles

S.Ertuğ, A.Aydin (2017), Conservative schemes for three coupled nonlinear Schrödinger equation, Applied Mathematical and Computational Sciences, accepted for publication

Ayhan Aydın (2015), An Unconventional Splitting for Korteweg de Vries–Burgers Equation, EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 8(1) , 50-63

S. Ostrovska (2014), Price’s Theorem and Uncorrelatedness Sets, "Vasile Alecsandri" University of Bacau, Faculty of Sciences Scientific Studies and Research, Series Mathematics and Informatics, 24(1), 65-73

S. Ostrovska, E. Berdysheva, G. Nowak, A. Y. Özban (2014), Approximation Theory and Numerical Analysis, Abstract and applied analysis