A Fold Bifurcation Theorem of Degenerate Solutions in a Perturbed Nonlinear Equation. (28th June 2011) - Liu, Ping
Abstract : We consider a nonlinear equationF ( ε, λ, u ) = 0, where the parameterε is a perturbation parameter, F is a differentiable mapping fromR × R × X toY, andX, Y are Banach spaces. We obtain an abstract bifurcation theorem by using the generalized saddle-node bifurcation theorem.