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Bifurcation analysis for a singulardifferential system with two parametersvia to topological degree theory
Lishan Liu 1 *, Fenglong Sun 2, Xinguang Zhang 3, Yonghong Wu 4
1. School of Mathematical Science, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China; Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
2. School of Mathematical Science, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China
3. Department of Mathematics and Informational Science, Yantai University, Yantai 264005, Shandong, People’s Republic of China;Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
4. Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
*Correspondence author
#Submitted by
Subject:
Funding: National Natural Science Foundation of China(No.11371221,11571296)
Opened online:18 May 2016
Accepted by: none
Citation: Lishan Liu, Fenglong Sun, Xinguang Zhang.Bifurcation analysis for a singulardifferential system with two parametersvia to topological degree theory[OL]. [18 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689055
 
 
Based on the relation between Leray-Schauder degree and a pair of strictlower and upper solutions, we focus on the bifurcation analysis for a singulardifferential system with two parameters, explicit bifurcation points for relativeparameters are obtained by using the property of solution for the akinsystems and topological degree theory.
Keywords:Leray-Schauder degree; Bifurcation analysis; Singular differentialsystem; Two parameters; Strict lower and upper solutions.
 
 
 

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