Oscillatory criteria for third-order nonlinear difference equation with impulses

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Abstract

In this paper, we study the oscillation of a third-order nonlinear difference equation with impulses. Some sufficient conditions for the oscillatory behavior of solutions of third-order impulsive nonlinear difference equation are obtained. Some known results in the literature are generalized and improved.

MSC

39A10
39A21
34K45

Keywords

Difference equation
Impulse
Nonlinearity
Oscillation

Cited by (0)

Supported by the Nature Science Foundation of China (No. 10671012), the Natural Science Foundation of Anhui Province Education Department (KJ2009B094).