# American Institute of Mathematical Sciences

2015, 2015(special): 841-850. doi: 10.3934/proc.2015.0841

## Solvability of higher-order BVPs in the half-line with unbounded nonlinearities

 1 Departamento de Matemática. Universidade de Évora, Centro de Investigação em Matemática e Aplicaçoes da U.E. (CIMA-UE), Rua Romão Ramalho, 59. 7000-671 Évora 2 Centro de Investigação em Matemática e Aplicações (CIMA-UE), Portugal

Received  July 2014 Revised  April 2015 Published  November 2015

This work presents sufficient conditions for the existence of unbounded solutions of a Sturm-Liouville type boundary value problem on the half-line. One-sided Nagumo condition plays a special role because it allows an asymmetric unbounded behavior on the nonlinearity. The arguments are based on fixed point theory and lower and upper solutions method. An example is given to show the applicability of our results.
Citation: Feliz Minhós, Hugo Carrasco. Solvability of higher-order BVPs in the half-line with unbounded nonlinearities. Conference Publications, 2015, 2015 (special) : 841-850. doi: 10.3934/proc.2015.0841
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