Oscillation for certain impulsive partial difference equations

• Autorzy: Özpinar F. , Öztürk S. , Koçak Z.F.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain some sufficient criteria for the oscillation of the solutions of linear impulsive partial difference equations with continuous variables.

Słowa kluczowe

EN

partial difference equation; impulsive PDEs; oscillation; continuous variables

PL

równania różniczkowe cząstkowe; drgania; zmienne ciągłe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 1
• Strony: 79--102
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Özpinar F.

• Bolvadin Vocational School Afyon Kocatepe University 03300 Afyonkarahisar, Turkey

autor

Öztürk S.

• Department of Mathematics, Faculty of Science and Arts, Ans Campus Afyon Kocatepe University 03200 Afyonkarahisar, Turkey

autor

Koçak Z.F.

• Department of Mathematics, Faculty of Science and Literature, Mugla University, Mugla, Turkey

Bibliografia

• [1] R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 1992.
• [2] R. P. Agarwal, F. Karakoc, Oscillation of impulsive partial difference equations with continuous variables, Math. Comput. Modelling 50 (2009), 1262–1278.
• [3] R. P. Agarwal, P. J. Y. Wong, Advanced Topics in Difference Equations, Kluwer Academic, Dordrecht, 1997.
• [4] D. D. Baĭnov, M. B. Dimitrova, A. B. Dishlies, Oscillation of bounded solutions of impulsive differential–difference of second order, Appl. Math. Comput. 114 (2000), 61–68.
• [5] D. D. Baĭnov, E. Minchev, Forced oscillation of solutions of impulsive nonlinear parabolic differential–difference equations, J. Korean Math. Soc. 35(4) (1998), 881–890.
• [6] D. D. Baĭnov, E. Minchev, Oscillation of solutions of impulsive nonlinear parabolic differential–difference equations, Internat. J. Theoret. Phys. 35(1) (1996), 207–215.
• [7] D. D. Baĭnov, P. S. Simeonov. Impulsive Differential Equations Asymtotic Properties of the Solutions, World Scientific, Singapore, 1995.
• [8] B. T. Cui, Y. Liu, Oscillatory for partial difference equations with continuous variables, J. Comput. Appl. Math. 154 (2003), 373–391.
• [9] V. Lakshmikantham, D. D. Ba˘ınov, P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1998.
• [10] E. Minchev, Oscillation of solutions of impulsive nonlinear hyperbolic differential–difference equations, Math. Balcanica 12(1–2) (1998), 215–224.
• [11] B. G. Zhang, Oscillation criteria of partial difference equations with continuous variables, Acta Math. Sinica 42(3) (1999), 487–494, (in Chinese).
• [12] B. G. Zhang, B. M. Liu, Oscillation criteria of certain nonlinear partial difference equations, Comput. Math. Appl. 38 (1999), 107–112.
• [13] B. G. Zhang, B. M. Liu, Necessary and sufficient conditions for oscillation of partial difference equations with continuous variables, Comput. Math. Appl. 38 (1999), 163–167.
• [14] B. G. Zhang, Y. Zhou, Qualitative Analysis of Delay Partial Difference Equations, Hindawi Publishing Corporation, New York, 2007.
• [15] Y. Zhou, Existence of bounded and unbounded nonoscillatory solutions of nonlinear partial difference equations, J. Math. Anal. Appl. 332(2) (2007), 1267–1277.