Existence of positive solutions for certain partial difference equations

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.

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Main Authors: Binggen Zhang, Qiuju Xing
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS/2006/37103
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author Binggen Zhang
Qiuju Xing
author_facet Binggen Zhang
Qiuju Xing
author_sort Binggen Zhang
collection DOAJ
description 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.
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institution Kabale University
issn 1026-0226
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publishDate 2006-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-1ed1e1258a744e748398f9e3c6d1511a2025-02-03T05:46:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/3710337103Existence of positive solutions for certain partial difference equationsBinggen Zhang0Qiuju Xing1Department of Mathematics, Ocean University of China, Qingdao 266071, ChinaDepartment of Mathematics and Physics, Xi’an Institute of Technology, Xi'an 710032, ChinaWe 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.http://dx.doi.org/10.1155/DDNS/2006/37103
spellingShingle Binggen Zhang
Qiuju Xing
Existence of positive solutions for certain partial difference equations
Discrete Dynamics in Nature and Society
title Existence of positive solutions for certain partial difference equations
title_full Existence of positive solutions for certain partial difference equations
title_fullStr Existence of positive solutions for certain partial difference equations
title_full_unstemmed Existence of positive solutions for certain partial difference equations
title_short Existence of positive solutions for certain partial difference equations
title_sort existence of positive solutions for certain partial difference equations
url http://dx.doi.org/10.1155/DDNS/2006/37103
work_keys_str_mv AT binggenzhang existenceofpositivesolutionsforcertainpartialdifferenceequations
AT qiujuxing existenceofpositivesolutionsforcertainpartialdifferenceequations