Existence of positive solutions for nth-order periodic difference equations
This paper is devoted to the study of difference equations coupled with periodic boundary value conditions. We deduce the existence of at least one positive solution provided that the nonlinear part of the equation satis_es some monotonicity assumptions and the existence of a positive upper solution...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| 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:10347/39525 |
| Acceso en línea: | https://hdl.handle.net/10347/39525 |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic boundary value problem nth order difference equations Non-zero fixed point Positive solutions |
| Sumario: | This paper is devoted to the study of difference equations coupled with periodic boundary value conditions. We deduce the existence of at least one positive solution provided that the nonlinear part of the equation satis_es some monotonicity assumptions and the existence of a positive upper solution. The result is obtained from a new _xed point theorem based on the classical Krasnoselskii's cone expansion/contraction theorem and the constant sign properties of the related Green's function. |
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