Abstract and Applied Analysis
Volume 6 (2001), Issue 8, Pages 489-499
doi:10.1155/S1085337501000537
On periodic solutions of abstract differential equations
1School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv 66978, Israel
2Department of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia
Received 22 May 2001
Copyright © 2001 Y. S. Eidelman and I. V. Tikhonov. 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
Let A
be a closed linear operator on a Banach space E.
We study periodic solutions of the differential equation
d Nu (t)/dt N=A u(t)
with an arbitrary integer N≥1.