Functionally Equivalent Impulsive Differential Systems with Delays
by
Jehad Alzabut
Çankaya University, Department of Mathematics and Computer Science, 06530 Ankara Turkey
Coauthors: Marat Akhmet and Ağacık Zafer

In general, the possibility of reducing impulsive differential systems with delays into impulsive differential systems without delays in such away that they have in common the same periodic solutions remains an ambiguous problem. However, in the case when the delays satisfy certain functional relations, this property becomes possible and could be achieved.

In this paper, and on the basis of the results obtained for delay differential equations, a series of consequences on the existence of periodic solutions of impulsive differential systems with delays are established.

Date received: March 30, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # canu-94.