A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation

Ping Liu and Yuwen Wang

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We consider a nonlinear equation F(ε, λ, u) = 0, where the parameter ε is a perturbation parameter, F is a differentiable mapping from R × R × X to Y, and X, Y are Banach spaces. We obtain an abstract bifurcation theorem by using the generalized saddle‐node bifurcation theorem.

Date: 2011
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https://doi.org/10.1155/2011/302942

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:302942

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