Discrete Dynamics in Nature and Society
Volume 2 (1998), Issue 4, Pages 257-265
doi:10.1155/S1026022698000235

Oscillation of certain partial difference equations

Sung Kyu Choi1 and Bing Gen Zhang2

1Department of Mathematics, Chungnam National University, Taejon 305-764, Korea
 2Department 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 equation aAm+1,n+1+bAm+1,n+cAm,n+1−dAm,n+Pm,nAm−k,n−1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equation Am+1,n+1+Am+1,n+Am,n+1−Am,n+Pm,n f(Am−k,n−l)=0.