research

PUBLICATIONS

1. F. Merdivenci, Two positive solutions of a boundary value problem for difference equations, Journal of Difference Equations and Applications,
   1 (1995) pp: 263-270.

2. F. Merdivenci, Green's matrices and positive solutions of a discrete boundary value problem, Panamerican Mathematical Journal,
     5 (1995), Number 1, pp: 25-42.

3. F. Merdivenci, Positive solutions for focal point problems for $2n^{th}$ order difference equations, Panamerican Mathematical Journal,
     5 (1995), Number 2, pp: 71-82.

4. F. Atici and A. C. Peterson, Bounds for positive solutions for a focal boundary value problem, Computers Math. Applic.,
     36 (1998), No: 10-12, pp: 99-107.

5. F. Atici and A. C. Peterson, Inequality for a 2n-th order difference equation, PanAmer. Math. J., 6 (1996) No: 3, pp: 41-49.

6. F. Merdivenci Atici and G. Sh. Guseinov, Criteria for the stability of second order difference equations with periodic coefficients, Comm. in Appl.
    Anal., 3 (1999), pp: 166-182.

7. F. Merdivenci Atici and G. Sh. Guseinov, Positive periodic solutions for nonlinear difference equations with periodic coefficients, J. Math. Anal. Appl.,
     232 (1999), pp: 166-182.

8. F. Merdivenci Atici, Existence of positive solutions of nonlinear discrete Sturm-Liouville problems, Math. Comput. Modelling.,
    32 (2000), pp: 599-607.

9. F. Merdivenci Atici ,G. Sh. Guseinov and B. Kaymakcalan, On Lyapunov inequality in stability theory for Hill's equation on time scales, J. Inequal.
     Appl., 5 (2000), pp: 603-620.

10. F. Merdivenci Atici and G. Sh. Guseinov, On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions,
       J. Comput. Appl. Math., 132 (2001), pp:341-356.

11. F. Merdivenci Atici, G. Sh. Guseinov and B. Kaymakcalan, Stability criteria for dynamic equations on time scales with periodic coefficients, In
      Conference Proceeding of the Third International Conference on Dynamic Systems and Applications, Atlanta, 1999. Dynamic Publishers.

12. F. Merdivenci Atici and G. Sh. Guseinov, Positive solutions for nonlinear differential equations with periodic boundary conditions, In Conference
       Proceeding of the Third International Conference on Dynamic Systems and Applications, Atlanta, 1999. Dynamic Publishers.

13. F. Merdivenci Atici and G. Sh. Guseinov, On Green's functions and positive solutions for boundary value \ problems on time scales, J. Comput. Appl.
       Math., 141(1-2), (2002), pp: 75-99 .

14. F. Merdivenci Atici, P. W. Eloe and B. Kaymakcalan, The quasilinearization method for boundary value problems on time scales, J. Mathematical
      Analysis and Applications, 276, 2002, pp:357-372.

15. F. Merdivenci Atici, A. Cabada and J. B. Ferreiro, Existence and comparison results for first order periodic implicit difference equations with maxima,
       J. Differ. Equations Appl., 8(4), (2002), pp:357-369.

16. F. Merdivenci Atici and E. Akin-Bohner, A quasilinearization approach for two point nonlinear boundary value problems on time scales, The Rocky
       Mountain Journal of Mathematics, 35(2005) Number:1, pp. 19-46.

17. F. Merdivenci Atici and A. Cabada, Existence and uniqueness results for discrete second order periodic boundary value problems, Computers Math.
      Applic., 45 (2003), pp. 1417-1427.

18. F. Merdivenci Atici, A. Cabada and V. Otero-Espinar, Multiplicity and nonexistence of positive solutions to a discrete periodic boundary value
       problem, J. Difference Equations and Applications, (2003) vol. 9, no. 9, pp.765-775.

19. F. Merdivenci Atici, E. Akin-Bohner and B. Kaymakcalan, Lower and upper solutions for two point boundary value problems on time scales,
       Chapter for a book on time scales edited by M. Bohner and A. C. Peterson, Advances in dynamic equations on time scales, 165-188,
       Birkhauser Boston, Boston, MA, 2003.

20. F. Merdivenci Atici, D. C. Biles, First order dynamic inclusions on time scales, J. Mathematical Analysis and Applications,
      (2004), Vol 292/1 pp 222-237.

21. F. Merdivenci Atici, S. Gulsan Topal, Nonlinear three-point boundary value problems on time scales, Dynamic Systems and Applications, 13
      (2004), pp 327-337.

22. F. Merdivenci Atici, S. Gulsan Topal, The generalized quasilinearization method and three-point boundary value problems on time scales, Applied
       Math. Letters, (2005), Vol: 18/5, pp. 577-585.

23. F. Merdivenci Atici, A. Cabada, C. J. Chyan, B. Kaymakcalan, Nagumo type existence results for second order nonlinear dynamic BVPs,
       Nonlinear Analysis, (2004), Vol.60, no.2, pp 209-220.

24. F. Merdivenci Atici and D. C. Biles, First and second order dynamic equations with impulse, Journal of Advances in Difference Equations,
       2(2005), pp 119-132.

25. F. Merdivenci Atici, D. C. Biles and A. Lebedinsky, An Application of Time Scales to Economics, Mathematical and Computer Modelling,
      43(2006), pp 718-726.

26. F. Merdivenci Atici, A. Cabada and J. Ferreiro, First order difference equations with maxima and nonlinear functional boundary value conditions,
        J. Difference Equations and Applications, 12(2006), no. 6, pp 565-576.

27. F. Merdivenci Atici and P. W. Eloe, Fractional q-Calculus on a Time Scale, J. Nonlinear Mathematical Physics,
      Vol.14, 3(2007), pp 333-344.

28. F. Merdivenci Atici and P. W. Eloe, A Transform Method in Discrete Fractional Calculus, International Journal of Difference Equations,
      Vol. 2, 2(2007), pp 165-176.

29. F. Merdivenci Atici and F. Uysal, The production-inventory model of HMMS on time scales, Applied Mathematics Letters, Vol. 21,
       3(2008), pp 236-243.

30. F. Merdivenci Atici and P. W. Eloe, Initial value problems in discrete fractional calculus, Proceedings of the American Mathematical Society,
       to appear.

31. F. Merdivenci Atici and C.S. McMahan, A comparison in the theory of calculus of variations on time scales with an application to the Ramsey model,
       Nonlinear Dynamics and Systems Theory, in press.