Unbounded solutions for functional problems on the half-line

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...

Full description

Bibliographic Details
Main Author: Minhós, Feliz (author)
Other Authors: Carrasco, Hugo (author)
Format: article
Language:eng
Published: 2017
Subjects:
Unbounded solutions
Half-line
upper lower solutions
Green's function
Online Access:http://hdl.handle.net/10174/19849
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/19849
Description
Summary: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.

Similar Items