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

Ping Liu and Yuwen Wang
Source: Abstr. Appl. Anal. Volume 2011 (2011), Article ID 302942, 11 pages.

#### Abstract

We consider a nonlinear equation $F(\epsilon ,\lambda ,u)=0$, where the parameter$\epsilon$ is a perturbation parameter, $F$ is a differentiable mapping from $\textbf{R}\times\textbf{R}\times X$ to $\mathrm{Y}$and $X$, $Y$ are Banach spaces. We obtain an abstract bifurcation theorem by using the generalized saddle-node bifurcation theorem.

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