Open Access
2016 Unbounded Solutions for Functional Problems on the Half-Line
Hugo Carrasco, Feliz Minhós
Abstr. Appl. Anal. 2016: 1-7 (2016). DOI: 10.1155/2016/8987374


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.


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Hugo Carrasco. Feliz Minhós. "Unbounded Solutions for Functional Problems on the Half-Line." Abstr. Appl. Anal. 2016 1 - 7, 2016.


Received: 24 November 2015; Accepted: 30 December 2015; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 06929393
MathSciNet: MR3462633
Digital Object Identifier: 10.1155/2016/8987374

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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