Boundary Value Problems
Volume 2007 (2007), Article ID 97067, 8 pages
doi:10.1155/2007/97067
Research Article

Solvability of Second-Order m-Point Boundary Value Problems with Impulses

Jianli Li1 and Sanhui Liu1,2

1Department of Mathematics, Hunan Normal University, Changsha 410081, Hunan, China
2Department of Mathematics, Zhuzhou Professional Technology College, Zhuzhou 412000, Hunan, China

Received 1 April 2007; Accepted 30 August 2007

Academic Editor: Pavel Drabek

Copyright © 2007 Jianli Li and Sanhui Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By Leray-Schauder continuation theorem and the nonlinear alternative of Leray-Schauder type, the existence of a solution for an m-point boundary value problem with impulses is proved.