Abstract and Applied Analysis
Volume 2013 (2013), Article ID 454619, 12 pages
http://dx.doi.org/10.1155/2013/454619
Research Article

Antiperiodic Solutions for a Generalized High-Order -Laplacian Neutral Differential System with Delays in the Critical Case

Yongzhi Liao,1 Tianwei Zhang,2 and Yongkun Li3

1School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China
2City College, Kunming University of Science and Technology, Kunming, Yunnan 650051, China
3Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

Received 23 January 2013; Accepted 13 April 2013

Academic Editor: Anna Capietto

Copyright © 2013 Yongzhi Liao 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

By applying the method of coincidence degree, some criteria are established for the existence of antiperiodic solutions for a generalized high-order -Laplacian neutral differential system with delays , in the critical case . The results of this paper are completely new. Finally, an example is employed to illustrate our results.