Persistence and Bifurcation of Degenerate Solutions
نویسندگان
چکیده
We consider a nonlinear equation F(=, *, u)=0, where F is a differentiable mapping from R_R_X to Y and X, Y are Banach spaces. When = varies from a fixed ===0 , bifurcation occurs to the solution curve (*(s), u(s)). We study the degenerate solutions of the equation, and we obtain several bifurcation theorems on the degenerate solutions, which can be applied in many nonlinear problems to obtain precise global bifurcation diagrams. 1999 Academic Press
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تاریخ انتشار 1999