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

Lishan Liu; Fenglong Sun; Xinguang Zhang; Yonghong Wu

doi:10.15388/NA.2017.1.3

Articles

Lishan Liu

Qufu Normal University, China; Curtin University, Australia

Fenglong Sun

Qufu Normal University, China

Xinguang Zhang

Yantai University, China; Curtin University, Australia

Yonghong Wu

Curtin University, Australia

Published 2017-01-20

https://doi.org/10.15388/NA.2017.1.3

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Keywords

Leray–Schauder degree
bifurcation analysis
singular differential system
two parameters
strict lower and upper solutions

How to Cite

Liu, L. (2017) “Bifurcation analysis for a singular differential system with two parameters via to topological degree theory”, Nonlinear Analysis: Modelling and Control, 22(1), pp. 31–50. doi:10.15388/NA.2017.1.3.

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Abstract

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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