Multiplicity results for fourth order problems related to the theory of deformations beams

The main purpose of this paper is to establish the existence and multiplicity of positive solutions for a fourth-order boundary value problem with integral condition. By using a new technique of construct a positive cone, we apply the Krasnoselskii compression/expansion and Leggett-Williams fixed po...

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Detalhes bibliográficos
Autores: Cabada Fernández, Alberto, Jebari, Rochdi
Formato: artículo
Fecha de publicación:2020
País:España
Recursos: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:10347/37751
Acesso em linha:https://hdl.handle.net/10347/37751
Access Level:acceso abierto
Palavra-chave:120219 Ecuaciones diferenciales ordinarias
Descrição
Resumo:The main purpose of this paper is to establish the existence and multiplicity of positive solutions for a fourth-order boundary value problem with integral condition. By using a new technique of construct a positive cone, we apply the Krasnoselskii compression/expansion and Leggett-Williams fixed point theorems in cones to show our multiplicity results. Finally, a particular case is studied, and the existence of multiple solutions is proved for two different particular functions.