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
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
Copyright © 2006 Binggen Zhang and Qiuju Xing. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.