Existence of solutions of a second-order impulsive differential equation-Reference-Cited by-同舟云学术

Existence of solutions of a second-order impulsive differential equation

Published:2014-05-06 Issue:1 Volume:2014 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Luo Zhiguo,Xie Jingli,Chen Guoping

Abstract

Abstract This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, at least one solution, at least two solutions and infinitely many solutions, respectively, by using critical point theorems. The main results are also demonstrated with examples. MSC:34B15, 34B18, 34B37, 58E30.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2014-118.pdf

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