A version of Krasnoselskii’s compression-expansion fixed point theorem in cones for discontinuous operators with applications
We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/44493 |
| Acceso en línea: | https://hdl.handle.net/10347/44493 |
| Access Level: | acceso abierto |
| Palabra clave: | Krasnosel'skiĭ fixed point theorem Positive solutions Discontinuous differential equations |
| Sumario: | We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities. |
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