Solvability of Three-Point Boundary Value Problems at Resonance with ap-Laplacian on Finite and Infinite Intervals-Reference-Cited by-同舟云学术

Solvability of Three-Point Boundary Value Problems at Resonance with ap-Laplacian on Finite and Infinite Intervals

Published:2012 Issue: Volume:2012 Page:1-16
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Lian Hairong¹,Wong Patricia J. Y.²,Yang Shu³

Affiliation:

1. School of Sciences, China University of Geosciences, Beijing 100083, China

2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798

3. Department of Foundation, North China Institute of Science and Technology, Beijing 101601, China

Abstract

Three-point boundary value problems of second-order differential equation with ap-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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/658010.pdf

Reference17 articles.

1. Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions

2. A -Laplacian problem with a multi-point boundary condition

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4. Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional p-Laplacian

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