New criteria for the existence of non-trivial fixed points in cones

We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subj...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Cid Araújo, José Ángel, Infante, Gennaro
Tipo de recurso: artículo
Fecha de publicación:2013
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:10347/45949
Acceso en línea:https://hdl.handle.net/10347/45949
Access Level:acceso abierto
Palabra clave:Krasnosel’skii fixed point theorem
Positive solutions
Conical shells
Multiplicity
1202 Análisis y análisis funcional
Descripción
Sumario:We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers