Abstract and Applied Analysis

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

Hongyu Li

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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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