Existence results for a clamped beam equation with integral boundary conditions
In this paper we investigate the existence of positive solutions of fourth order non autonomous differential equations with integral boundary conditions, the nonlinearity is a continuous function that depends on the spatial variable and its the second-order derivative. The approach relies an extensi...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Universidad de Santiago de Compostela (USC) |
| Repositório: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglês |
| OAI Identifier: | oai:minerva.usc.gal:10347/37812 |
| Acesso em linha: | https://hdl.handle.net/10347/37812 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Green's functions Fourth-order boundary value problem Integral boundary conditions, positive solutions Extension of Krasnoselskii's fixed point theorem in a cone 120219 Ecuaciones diferenciales ordinarias |
| Resumo: | In this paper we investigate the existence of positive solutions of fourth order non autonomous differential equations with integral boundary conditions, the nonlinearity is a continuous function that depends on the spatial variable and its the second-order derivative. The approach relies an extension of Krasnoselskii’s fixed point theorem in a cone. Some examples are given to illustrate our results. |
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