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

Ping Liu and Yuwen Wang

Abstract and Applied Analysis, 2011, vol. 2011, 1-11

Abstract:

We consider a nonlinear equation ð ¹ ( 𠜀 , 𠜆 , ð ‘¢ ) = 0 , where the parameter 𠜀 is a perturbation parameter, ð ¹ is a differentiable mapping from R × R × ð ‘‹ to ð ‘Œ , and ð ‘‹ , ð ‘Œ are Banach spaces. We obtain an abstract bifurcation theorem by using the generalized saddle-node bifurcation theorem.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:302942

DOI: 10.1155/2011/302942

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