Bifurcation analysis for a singular differential system with two parameters via to topological degree theory

Based on the relation between Leray–Schauder degree and a pair of strict lower and upper solutions, we focus on the bifurcation analysis for a singular differential system with two parameters, explicit bifurcation points for relative parameters are obtained by using the property of solution for the...

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Main Authors: Lishan Liu, Fenglong Sun, Xinguang Zhang, Yonghong Wu
Format: Article
Language:English
Published: Vilnius University Press 2017-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13408
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spelling doaj-d1ce5ae922f64b8795fe85adb03ed2b52020-11-25T02:39:32ZengVilnius University PressNonlinear Analysis1392-51132335-89632017-01-0122110.15388/NA.2017.1.3Bifurcation analysis for a singular differential system with two parameters via to topological degree theoryLishan Liu0Fenglong Sun1Xinguang Zhang2Yonghong Wu3Qufu Normal University, China; Curtin University, AustraliaQufu Normal University, ChinaYantai University, China; Curtin University, AustraliaCurtin University, Australia Based on the relation between Leray–Schauder degree and a pair of strict lower and upper solutions, we focus on the bifurcation analysis for a singular differential system with two parameters, explicit bifurcation points for relative parameters are obtained by using the property of solution for the akin systems and topological degree theory. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13408Leray–Schauder degreebifurcation analysissingular differential systemtwo parametersstrict lower and upper solutions
collection DOAJ
language English
format Article
sources DOAJ
author Lishan Liu
Fenglong Sun
Xinguang Zhang
Yonghong Wu
spellingShingle Lishan Liu
Fenglong Sun
Xinguang Zhang
Yonghong Wu
Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
Nonlinear Analysis
Leray–Schauder degree
bifurcation analysis
singular differential system
two parameters
strict lower and upper solutions
author_facet Lishan Liu
Fenglong Sun
Xinguang Zhang
Yonghong Wu
author_sort Lishan Liu
title Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
title_short Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
title_full Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
title_fullStr Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
title_full_unstemmed Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
title_sort bifurcation analysis for a singular differential system with two parameters via to topological degree theory
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2017-01-01
description Based on the relation between Leray–Schauder degree and a pair of strict lower and upper solutions, we focus on the bifurcation analysis for a singular differential system with two parameters, explicit bifurcation points for relative parameters are obtained by using the property of solution for the akin systems and topological degree theory.
topic Leray–Schauder degree
bifurcation analysis
singular differential system
two parameters
strict lower and upper solutions
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13408
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AT xinguangzhang bifurcationanalysisforasingulardifferentialsystemwithtwoparametersviatotopologicaldegreetheory
AT yonghongwu bifurcationanalysisforasingulardifferentialsystemwithtwoparametersviatotopologicaldegreetheory
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