Advances in Difference Equations
Volume 2011 (2011), Article ID 783726, 13 pages
doi:10.1155/2011/783726
Research Article

New Existence Results and Comparison Principles for Impulsive Integral Boundary Value Problem with Lower and Upper Solutions in Reversed Order

Guotao Wang,1 Lihong Zhang,1 and Guangxing Song2

1School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China
2Department of Mathematics, China University of Petroleum, Qingdao, Shandong 266555, China

Received 29 December 2010; Accepted 3 March 2011

Academic Editor: Jin Liang

Copyright © 2011 Guotao Wang 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

This paper investigates the existence of the extremal solutions to the integral boundary value problem for first-order impulsive functional integrodifferential equations with deviating arguments under the assumption of existing upper and lower solutions in the reversed order. The sufficient conditions for the existence of solutions were obtained by establishing several new comparison principles and using the monotone iterative technique. At last, a concrete example is presented and solved to illustrate the obtained results.