Abstract and Applied Analysis
Volume 6 (2001), Issue 8, Pages 489-499
doi:10.1155/S1085337501000537
On periodic solutions of abstract differential equations
Y.S. Eidelman1
and I.V. Tikhonov2
1School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv 66978, Israel
2Department of Mathematics and Mechanics, Moscow State University, Moscow 119899, Russia
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.