Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 796165, 17 pages
doi:10.1155/2010/796165
Research Article

Periodic Systems Dependent on Parameters

Min He

Department of Mathematical Sciences, Kent State University at Trumbull, Warren, OH 44483, USA

Received 1 January 2010; Revised 5 March 2010; Accepted 14 March 2010

Academic Editor: Shusen Ding

Copyright © 2010 Min He. 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 is concerned with a periodic system dependent on parameter. We study differentiability with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the results regarding parameters for C0-semigroups, we obtained some convenient conditions for determining differentiability with parameters of the periodic solution. The paper is concluded with an application of the obtained results to a periodic boundary value problem.