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Journal of Mathematics
Volume 2014 (2014), Article ID 214093, 13 pages
http://dx.doi.org/10.1155/2014/214093
Research Article

Multiple Positive Periodic Solutions for Two Kinds of Higher-Dimension Impulsive Differential Equations with Multiple Delays and Two Parameters

1Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
2Department of Mathematics, National University of Defense Technology, Changsha 410073, China

Received 8 September 2013; Revised 13 February 2014; Accepted 13 February 2014; Published 6 April 2014

Academic Editor: Nan-Jing Huang

Copyright © 2014 Zhenguo Luo. 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 applying the fixed point theorem, we derive some new criteria for the existence of multiple positive periodic solutions for two kinds of   -dimension periodic impulsive functional differential equations with multiple delays and two parameters: ), a.e., , , , , , and ), a.e., , , , , , As an application, we study some special cases of the previous systems, which have been studied extensively in the literature.