Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 37103, 12 pages
doi:10.1155/DDNS/2006/37103

Existence of positive solutions for certain partial difference equations

Binggen Zhang1 and Qiuju Xing2

 1Department of Mathematics, Ocean University of China, Qingdao 266071, China
2Department of Mathematics and Physics, Xi'an Institute of Technology, Xi'an 710032, China
Received 27 June 2005; Accepted 10 October 2005

Abstract

We give some sufficient conditions for the existence of positive solutions of partial difference equation aAm+1,n+1+bAm,n+1+cAm+1,n−dAm,n+Pm,nAm−k,n−1=0 by two different methods.