Existence of Positive Solutions for Second-Order Neumann Difference System

Existence of Positive Solutions for Second-Order Neumann Difference System

This paper studies a class of Neumann difference system which is not cooperative but its linear part is and this makes it possible to establish existence and nonexistence results for nonnegative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system.

Bibliographic Details
Main Authors: Yanqiong Lu, Ruyun Ma
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/815170
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spelling doaj-88105f14e8ab41faa93a2a266167915f2020-11-25T00:38:07ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/815170815170Existence of Positive Solutions for Second-Order Neumann Difference SystemYanqiong Lu0Ruyun Ma1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThis paper studies a class of Neumann difference system which is not cooperative but its linear part is and this makes it possible to establish existence and nonexistence results for nonnegative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system.http://dx.doi.org/10.1155/2014/815170
collection DOAJ
language English
format Article
sources DOAJ
author Yanqiong Lu
Ruyun Ma
spellingShingle Yanqiong Lu
Ruyun Ma
Existence of Positive Solutions for Second-Order Neumann Difference System
Journal of Function Spaces
author_facet Yanqiong Lu
Ruyun Ma
author_sort Yanqiong Lu
title Existence of Positive Solutions for Second-Order Neumann Difference System
title_short Existence of Positive Solutions for Second-Order Neumann Difference System
title_full Existence of Positive Solutions for Second-Order Neumann Difference System
title_fullStr Existence of Positive Solutions for Second-Order Neumann Difference System
title_full_unstemmed Existence of Positive Solutions for Second-Order Neumann Difference System
title_sort existence of positive solutions for second-order neumann difference system
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description This paper studies a class of Neumann difference system which is not cooperative but its linear part is and this makes it possible to establish existence and nonexistence results for nonnegative solutions of the system in terms of the principal eigenvalue of the corresponding linearized system.
url http://dx.doi.org/10.1155/2014/815170
work_keys_str_mv AT yanqionglu existenceofpositivesolutionsforsecondorderneumanndifferencesystem
AT ruyunma existenceofpositivesolutionsforsecondorderneumanndifferencesystem
_version_ 1725298704289628160

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