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

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.

Keywords

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