## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 263042, 7 pages.

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

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#### 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.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014 (2014), Article ID 263042, 7 pages.

**Dates**

First available in Project Euclid: 2 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412276983

**Digital Object Identifier**

doi:10.1155/2014/263042

**Mathematical Reviews number (MathSciNet)**

MR3212405

**Zentralblatt MATH identifier**

07022040

#### Citation

Li, Hongyu. Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems. Abstr. Appl. Anal. 2014 (2014), Article ID 263042, 7 pages. doi:10.1155/2014/263042. https://projecteuclid.org/euclid.aaa/1412276983

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