Abstract and Applied Analysis
Volume 2012 (2012), Article ID 475956, 24 pages
Research Article

Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian

1School of Mathematical Sciences, University of Jinan, Jinan, Shangdong 250022, China
2School of Business, Inner Mongolia University of Science & Technology, Inner Mongolia, Baotou 014010, China

Received 19 June 2012; Accepted 26 September 2012

Academic Editor: Toka Diagana

Copyright © 2012 Liang Zhang and Peng Zhang. 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.


The existence of periodic solutions for nonautonomous second-order differential inclusion systems with -Laplacian is considered. We get some existence results of periodic solutions for system, a.e. , , by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.