Bifurcation analysis for a singular differential system with two parameters via to topological degree theory. (English) Zbl 1420.34048
Summary: 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.
MSC:
| 34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
| 34B08 | Parameter dependent boundary value problems for ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
Leray-Schauder degree; bifurcation analysis; singular differential system; two parameters; strict lower and upper solutionsReferences:
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