Existence results for a fourth order problem with functional perturbed clamped beam boundary conditions

In this paper, we study the existence of positive solutions for a fourth order boundary value problem coupled to functional perturbed clamped beam boundary conditions. Our main ingredient is the classical fixed point index. The problem investigated is an extension of other problems studied in previo...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Jebari, Rochdi, López Somoza, Lucía
Tipo de recurso: artículo
Fecha de publicación:2024
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:10347/39828
Acceso en línea:https://hdl.handle.net/10347/39828
Access Level:acceso abierto
Palabra clave:Fourth-order boundary value problem
Nonlocal boundary conditions
Fixed point index
Green’s functions
120219 Ecuaciones diferenciales ordinarias
Descripción
Sumario:In this paper, we study the existence of positive solutions for a fourth order boundary value problem coupled to functional perturbed clamped beam boundary conditions. Our main ingredient is the classical fixed point index. The problem investigated is an extension of other problems studied in previous papers by covering very general nonlocal perturbed conditions on the boundary.