Hugo Carrasco, Feliz Minhos
Abstract:
This article concerns the existence of unbounded solutions
to fourth-order boundary-value problem on the half-line with two-point
boundary conditions. One-sided Nagumo condition plays a special role as it
allows an asymmetric unbounded behavior on the nonlinearity. The arguments
are based on the Schauder fixed 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.
Submitted January 19, 2017. Published August 1, 2017.
Math Subject Classifications: 34B10, 34B15, 34B40.
Key Words: Half line problem; Schauder fixed point theorem;
unbounded and nonordered upper and lower solutions;
one-sided Nagumo condition.
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Hugo Carrasco Departamento de Matemática Escola de Ciências e Tecnologia Universidade de Évora Rua Romão Ramalho, 59 7000-671 Évora, Portugal email: hugcarrasco@gmail.com |
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Feliz Minhós Departamento de Matemática Escola de Ciências e Tecnologia Universidade de Évora Rua Romão Ramalho, 59 7000-671 Évora, Portugal email: fminhos@uevora.pt |
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