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

Liu, Lishan; Sun, F.; Zhang, Xinguang; Wu, Yong Hong

doi:10.15388/NA.2017.1.3

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Authors

Liu, Lishan

Sun, F.

Zhang, Xinguang

Wu, Yong Hong

Date

2017

Type

Journal Article

Metadata

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Citation

Liu, L. and Sun, F. and Zhang, X. and Wu, Y.H. 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.

Source Title

Nonlinear Analysis: Modelling and Control

DOI

10.15388/NA.2017.1.3

ISSN

1392-5113

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52168

Collection

Curtin Research Publications

Abstract

© Vilnius University, 2017.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.