A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation
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.
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| Veröffentlicht in: | Abstract and Applied Analysis 2011-01, Vol.2011 (2011), p.922-932 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2011/302942 |