Publications

22. Ravi P. Agarwal, A. Özbekler, Lyapunov type inequalities for second order forced mixed nonlinear impulsive differential equations, Appl. Math. Comput. 282 (2016) 216--225.

21. Ravi P. Agarwal, E. Çetin, A. Özbekler, Lyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scales, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM, 2016, pages 16, DOI 10.1007/s13398-016-0290-6.

20. Ravi P. Agarwal, A. Özbekler, Lyapunov type inequalities for second order sub and super-half-linear differential equations, Dynam. Syst. Appl. 24 (2015) 211--220.

19. Ravi P. Agarwal, A. Özbekler, Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations, Appl. Math. Comput. 265 (2015) 456--468.

18. A. Özbekler, Picone type formula for half-linear impulsive differential equations with discontinuous solutions, Math. Methods Appl. Sci. 38 (2015) 1592--1600.

17. Ravi P. Agarwal, A. Özbekler, Lyapunov type inequalities for even order differential equations with mixed nonlinearities, J. Inequal. Appl. 2015 (2015):142, 1--10.

16. A. Özbekler, Sturmian theory for second order differential equations with mixed nonlinearities, Appl. Math. Comput. 259 (2015) 379--389.

 

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

14. O. Dosly, A. Özbekler and R. Simon Hilscher, Oscillation criterion for half-linear differential equations with periodic coefficients, J. Math. Anal. Appl. 393 (2) 2012, 360--366. [pdf]

13. A. Özbekler, A proposed geometry problem, Pi Mu Epsilon Journal, Problem Department Section, Spring 2012, Prb. no: 1255, March 2012. [pdf] [PME]

12.
A. Özbekler, A. Zafer, Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients, App. Math. Lett. 25 (2012) 294--300. [pdf]

11.
A. Özbekler, A. Zafer, Second-order oscillation of mixed nonlinear dynamic equations with several positive and negative coefficients, in: "Dynamical Systems, Differential Equations and Applications'', Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications'' (Dresden, 2010), W.Feng, Z.Feng, M.Grasselli, A.Ibragimov, X.Lu, S.Siegmund, and J.Voigt, editors, Discrete and Contin. Dynam. Systems, Supplement 2011, 1167--1175. American Institute of Mathematical Sciences (AIMS), Springfield, MO, 2011. [pdf] [AIMS]

10. A. Özbekler, James S.W. Wong and A. Zafer, Forced second-order nonlinear differential equations with positive and negative coefficients, Appl. Math. Lett. 24 (7) (2011) 1225--1230. [pdf]

9.
A. Özbekler, A. Zafer, Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations, Comput. Math. Appl. 61 (2011) 933--940. [pdf]

8.
A. Özbekler, A. Zafer, Leighton - Coles - Wintner type oscillation criteria for half-linear impulsive differential equations, Advances in Dynam. Sys. Appl. 5 (2) (2010) 205--214. [pdf]

7. A. Özbekler, A. Zafer, Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions, E. J. Qualitative Theory of Diff. Equ. 35 (2010)1--12. [pdf]

6. A. Özbekler, A. Zafer, Principal and nonprincipal solutions of impulsive differential equations with applications, Appl. Math. Comput. 216 (2010) 1158--1168. [pdf]

5. A. Özbekler, A. Zafer,  Interval criteria for forced oscillation of super-half-linear differential equations under impulse effect, Math. Comput. Modelling 50 (1-2) (2009) 59--65. [pdf]

4. A. Özbekler, 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), (2009) pp. 545. [pdf]

3. A. Özbekler, A. Zafer, Forced oscillation of super-half-linear impulsive differential equations, Comput. Math. Appl. 54 (6) (2007) 785--792. [pdf]

2. A. Özbekler, A. Zafer,  Picone’s formula for linear non-selfadjoint impulsive differential equations, J. Math.l Anal. Appl. 319 (2) (2006) 410--423. [pdf]

1. A. Özbekler, A. Zafer, Sturmian comparison theory for linear and half-linear impulsive differential equations, Nonlinear Anal. (TMA) 63 (5-7) (2005) 289-297. [pdf]

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