Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems-Reference-Cited by-同舟云学术

Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Li Hongyu¹²

Affiliation:

1. Department of Mathematics, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

2. Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China

Abstract

Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/263042.pdf

Reference26 articles.

1. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation

2. Positive solutions of some three point boundary value problems via fixed point index theory

3. Positive solutions of m-point boundary value problems