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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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.
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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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1724785641001058304 |