On the existence of positive solutions for the second-order boundary value problem
Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Abstract
This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.
Description
The author would like to thank the anonymous referees and editor for their helpful comments and suggestions. The project was supported by Abdullah Gul University Foundation of Turkey (Project No. 5).
Keywords
Boundary value problem, Green's function, Multiple solution, Fixed point theorem