Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 393757, 15 pages
doi:10.1155/2010/393757
Research Article

Infinite Boundary Value Problems for Second-Order Nonlinear Impulsive Differential Equations with Supremum

Piao-Piao Shi1 and Wen-Xia Wang2

1School of Mathematics, Jinzhong University, Jinzhong, Shanxi 030600, China
2Department of Mathematics, Taiyuan Normal University, Taiyuan, Shanxi 030012, China

Received 22 January 2010; Accepted 11 May 2010

Academic Editor: Guang Y. Zhang

Copyright © 2010 Piao-Piao Shi and Wen-Xia Wang. 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

We investigate the infinite boundary value problems for second-order impulsive differential equations with supremum by establishing a new comparison result and using the lower and upper solution method, and obtain the existence results for their maximal and minimal solutions.