Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 98318, 25 pages
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations
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.
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.