Unbounded Solutions for Functional Problems on the Half-Line

Hugo Carrasco and Feliz Minhós

Abstract and Applied Analysis, 2016, vol. 2016, 1-7

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8987374

DOI: 10.1155/2016/8987374

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