Unbounded solutions for functional problems on the half-line

This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at...

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Detalhes bibliográficos
Autor principal: Carrasco, Hugo (author)
Outros Autores: Minhós, Feliz (author)
Formato: article
Idioma:eng
Publicado em: 2017
Assuntos:
Texto completo:http://hdl.handle.net/10174/19843
País:Portugal
Oai:oai:dspace.uevora.pt:10174/19843
Descrição
Resumo:This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.