Boundary Value Problems
Volume 2011 (2011), Article ID 684542, 15 pages
doi:10.1155/2011/684542
Research Article

Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval

Xuemei Zhang,1 Xiaozhong Yang,1 and Meiqiang Feng2

1Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
2School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

Received 20 May 2010; Accepted 19 July 2010

Academic Editor: Gennaro Infante

Copyright © 2011 Xuemei Zhang et al. 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

The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary conditions with no impulsive effects or the boundary conditions with impulsive effects on a finite interval with a finite number of impulsive times, so our work is new. Meanwhile, an example is worked out to demonstrate the main results.