Boundary Value Problems 
Volume 2008 (2008), Article ID 389028, 18 pages
doi:10.1155/2008/389028
Research Article

On Periodic Solutions of Higher-Order Functional Differential Equations

I. Kiguradze,1 N. Partsvania,1 and B. Půža2

1Andrea Razmadze Mathematical Institute, 1 Aleksidze Street, 0193 Tbilisi, Georgia
2Department of Mathematics and Statistics, Masaryk University, Janáčkovo nám. 2a, 66295 Brno, Czech Republic

Received 8 September 2007; Accepted 23 January 2008

Recommended by Donal O'Regan

Abstract

For higher-order functional differential equations and, particularly, for nonautonomous differential equations with deviated arguments, new sufficient conditions for the existence and uniqueness of a periodic solution are established.