Oscillatory criteria for third-order nonlinear difference equation with impulses

Authors:
Wei Lu;Weigao Ge;Zhihong Zhao
Affiliations:
Department of Mathematics, Suzhou University, Suzhou, Anhui 234000, PR China and Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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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.