Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function-Reference-Cited by-同舟云学术

Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zhang Peiguo¹^ORCID,Liu Lishan²,Wu Yonghong³

Affiliation:

1. Department of Mathematics, Heze University, Heze, Shandong 274000, China

2. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China

3. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia

Abstract

By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. The theorems obtained are very general and complement previous known results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/640183.pdf

Reference29 articles.

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

2. Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions

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