A Variational Principle for Three-Point Boundary Value Problems with Impulse-Reference-Cited by-同舟云学术

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A Variational Principle for Three-Point Boundary Value Problems with Impulse

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yang Dianwu¹

Affiliation:

1. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Abstract

We construct a variational functional of a class of three-point boundary value problems with impulse. Using the critical points theory, we study the existence of solutions to second-order three-point boundary value problems with impulse.

Funder

Natural Science Foundation of Shandong Province of PR China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/840408.pdf

Reference18 articles.

1. Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower solution condition

2. A necessary and sufficient condition for the existence of positive solutions to a kind of singular three-point boundary value problem

3. Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order

4. Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order

5. The generalized quasilinearization method for second-order three-point boundary value problems

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