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...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Jebari, Rochdi
Tipo de recurso: artículo
Fecha de publicación:2020
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:10347/37812
Acceso en línea:https://hdl.handle.net/10347/37812
Access Level:acceso abierto
Palabra clave: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
Descripción
Sumario: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.