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Oscillation theorems of second-order nonlinear neutral delay difference equations with impulses. (English) Zbl 1035.39006

Summary: We establish some oscillation criteria for second-order nonlinear neutral delay difference equations with impulses, and some sufficient conditions for the oscillatory behavior of solutions of third-order impulsive delay difference equations are also obtained.

MSC:

39A11 Stability of difference equations (MSC2000)
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References:

[1] Lakshmikantham, V.; Bainov, D. D.; Simeonov, P. S., Theory of Impulsive Differential Equations (1989), World Scientific: World Scientific Singapore · Zbl 0719.34002
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[3] Wei, G., Oscillation and nonoscillation of impulsive delay difference equations, Journal of Hunan University, 26, 6, 9-13 (1999), (Natural Ed., in Chinese) · Zbl 0965.39005
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[5] M. Peng, Oscillation theorems of certain second-order nonlinear delay difference equations with impulses (to appear).; M. Peng, Oscillation theorems of certain second-order nonlinear delay difference equations with impulses (to appear).
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[10] M. Peng, W. Ge and Q. Xu, Preservation of nonoscillation for second-order delay differential equations under impulsive perturbations, Acta Mathematica Sinica; M. Peng, W. Ge and Q. Xu, Preservation of nonoscillation for second-order delay differential equations under impulsive perturbations, Acta Mathematica Sinica · Zbl 1022.34066
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