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Bifurcation analysis of one kind of reaction-diffusion equations. (Chinese. English summary) Zbl 0962.34030

Summary: Bifurcation phenomena of a kind of reaction-diffusion equations are investigated. Using singularity theory based on the method of Lyapunov-Schmidt, sufficient results are obtained.

MSC:

34C23 Bifurcation theory for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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