Oscillation of certain partial difference equations

Author:

Choi Sung Kyu1,Zhang Bing Gen2

Affiliation:

1. Department of Mathematics, Chungnam National University, Taejon 305-764, Korea

2. Department of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, China

Abstract

We first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equationaAm+1,n+1+bAm+1,n+cAm,n+1dAm,n+Pm,nAmk,n1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equationAm+1,n+1+Am+1,n+Am,n+1Am,n+Pm,nf(Amk,nl)=0.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Existence of positive solutions for certain partial difference equations;Discrete Dynamics in Nature and Society;2006

2. Oscillation criteria of a class of partial difference equations with delays;Computers & Mathematics with Applications;2004-07

3. The oscillation and stability of delay partial difference equations;Computers & Mathematics with Applications;2003-03

4. Oscillation of a kind of two-variables functional equation;Computers & Mathematics with Applications;2001-08

5. Oscillation of partial difference equations with continuous variables;Mathematical and Computer Modelling;2000-01

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