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A Double Saddle-node Bifurcation Theorem
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tseng, Y. Y. |
| Copyright Year | 2013 |
| Abstract | In this paper, we consider an abstract equation F (λ, u) = 0 with one parameter λ, where F ∈ Cp(R×X,Y ), p ≥ 2, is a nonlinear differentiable mapping, and X,Y are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a “double” saddle-node bifurcation theorem with a two-dimensional kernel. Applications include a perturbed problem and a semilinear elliptic equation. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://jxshix.people.wm.edu/shi/13-Liu-Shi-Wang-CPAA.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
