## Abstract and Applied Analysis

### Solvability of Three-Point Boundary Value Problems at Resonance with a $p$-Laplacian on Finite and Infinite Intervals

#### Abstract

Three-point boundary value problems of second-order differential equation with a p-Laplacian on finite and infinite intervals are investigated in this paper. By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 658010, 16 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365168321

Digital Object Identifier
doi:10.1155/2012/658010

Mathematical Reviews number (MathSciNet)
MR2999938

Zentralblatt MATH identifier
1261.34025

#### Citation

Lian, Hairong; Wong, Patricia J. Y.; Yang, Shu. Solvability of Three-Point Boundary Value Problems at Resonance with a $p$ -Laplacian on Finite and Infinite Intervals. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 658010, 16 pages. doi:10.1155/2012/658010. https://projecteuclid.org/euclid.aaa/1365168321

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