Boundary Value Problems
Volume 2011 (2011), Article ID 421261, 13 pages
doi:10.1155/2011/421261
Research Article

Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces

Pengyu Chen

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Received 20 April 2010; Accepted 15 September 2010

Academic Editor: Feliz Manuel Minhós

Copyright © 2011 Pengyu Chen. 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 deals with the existence of L-quasi-solutions for impulsive periodic boundary value problems in an ordered Banach space E. Under a new concept of upper and lower solutions, a new monotone iterative technique on periodic boundary value problems of impulsive differential equations has been established. Our result improves and extends some relevant results in abstract differential equations.