Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 98318, 25 pages
doi:10.1155/JAMSA/2006/98318

Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations

S. G. Hristova1 and A. S. Vatsala2

1Department of Mathematics and Computer Science, Denison University, Granville, Ohio 43023, OH, USA
2Department of Mathematics, University of Louisiana, Lafayette 70504, LA, USA

Received 20 June 2005; Revised 25 August 2005; Accepted 26 August 2005

Copyright © 2006 S. G. Hristova and A. S. Vatsala. 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

The method of generalized quasilinearization for the system of nonlinear impulsive differential equations with periodic boundary conditions is studied. As a byproduct, the result for the system without impulses can be obtained, which is a new result as well.