Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight

Let T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T....

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Main Authors: Ruyun Ma, Chenghua Gao, Xiaoling Han, Xiaoqiang Chen
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/624157
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author Ruyun Ma
Chenghua Gao
Xiaoling Han
Xiaoqiang Chen
author_facet Ruyun Ma
Chenghua Gao
Xiaoling Han
Xiaoqiang Chen
author_sort Ruyun Ma
collection DOAJ
description Let T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T.
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institution Kabale University
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language English
publishDate 2011-01-01
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record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-9a9d8e9ee8884dd98456f92bbf65212c2025-02-03T01:11:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/624157624157Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing WeightRuyun Ma0Chenghua Gao1Xiaoling Han2Xiaoqiang Chen3Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaSchool of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaLet T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T.http://dx.doi.org/10.1155/2011/624157
spellingShingle Ruyun Ma
Chenghua Gao
Xiaoling Han
Xiaoqiang Chen
Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
Discrete Dynamics in Nature and Society
title Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
title_full Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
title_fullStr Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
title_full_unstemmed Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
title_short Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight
title_sort global structure of positive solutions of a discrete problem with sign changing weight
url http://dx.doi.org/10.1155/2011/624157
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AT chenghuagao globalstructureofpositivesolutionsofadiscreteproblemwithsignchangingweight
AT xiaolinghan globalstructureofpositivesolutionsofadiscreteproblemwithsignchangingweight
AT xiaoqiangchen globalstructureofpositivesolutionsofadiscreteproblemwithsignchangingweight