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Journal of Function Spaces
Volume 2014, Article ID 816490, 6 pages
Research Article

Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory

School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China

Received 31 May 2013; Revised 30 September 2013; Accepted 28 October 2013; Published 21 January 2014

Academic Editor: Alberto Fiorenza

Copyright © 2014 Bian-Xia Yang and Hong-Rui Sun. 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.


Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.