Abstract and Applied Analysis
Volume 2016, Article ID 5784273, 12 pages
http://dx.doi.org/10.1155/2016/5784273
Existence of Infinitely Many Periodic Solutions for Perturbed Semilinear Fourth-Order Impulsive Differential Inclusions
1Department of Law and Economics, Mediterranea University of Reggio Calabria, Via dei Bianchi 2, 89131 Reggio Calabria, Italy
2Department of Economics, University of Messina, Via dei Verdi 75, 98122 Messina, Italy
3Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran
Received 28 October 2015; Accepted 11 February 2016
Academic Editor: Agacik Zafer
Copyright © 2016 Massimiliano Ferrara 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
This paper discusses the existence of infinitely many periodic solutions for a semilinear fourth-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The approach is based on a critical point theorem for nonsmooth functionals.