Homoclinic solutions for nonlinear general fourth‐order differential equations |
| |
| Authors: | Hugo Carrasco Feliz Minhós |
| |
| Affiliation: | 1. Departamento de Matemática, Escola de Ciências e Tecnologia, Universidade de évora, évora, Portugal;2. Centro de Investiga??o em Matemática e Aplica??es (CIMA) Instituto de Investiga??o e Forma??o Avan?ada, Universidade de évora, évora, Portugal |
| |
| Abstract: | This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation. In an adequate function space, the corresponding nonlinear integral operator is compact, and it is proved an existence result by Schauder's fixed point theorem. Copyright © 2017 John Wiley & Sons, Ltd. |
| |
| Keywords: | higher‐order problems in the real line fixed point theory Green's functions homoclinic solutions beams on nonuniform elastic foundations |
|
|
