Discrete Dynamics in Nature and Society
Volume 2006 (2006), Issue 1, 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
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.