Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line

We establish sufficient conditions for the existence of extremal solutions for a second-order problem on the half-line with discontinuous right-hand side and nonlinear boundary conditions. Our results are new even in the classical case of continuous nonlinearities. We illustrate their applicability...

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Detalles Bibliográficos
Autores: López Pouso, Rodrigo, Rodríguez López, Jorge
Tipo de recurso: artículo
Fecha de publicación:2018
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:10347/44472
Acceso en línea:https://hdl.handle.net/10347/44472
Access Level:acceso abierto
Palabra clave:Discontinuous differential equations
Upper and lower solutions
Half line problems
Fixed point theorems
Extremal solutions
Descripción
Sumario:We establish sufficient conditions for the existence of extremal solutions for a second-order problem on the half-line with discontinuous right-hand side and nonlinear boundary conditions. Our results are new even in the classical case of continuous nonlinearities. We illustrate their applicability with an example.