Existence of solutions to infinite elastic beam equations with unbounded nonlinearities

• Autor(a) principal: Carrasco, Hugo
• Data de Publicação: 2017
• Outros Autores: Minhós, Feliz
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10174/21883
• topic: Half line problems; Schauder xed point theorem; unbounded and nonordered upper and lower solutions; one-sided Nagumo condition.

This article concerns the existence of unbounded solutions to fourth- order boundary-value problem on the half-line with two-point boundary con- ditions. One-sided Nagumo condition plays a special role as it allows an asym- metric unbounded behavior on the nonlinearity. The arguments are based on the Schauder xed point theorem and lower and upper solutions method. As an application, an example is given with non-ordered lower and upper solutions, to prove our results.