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

On periodic solutions of higher-order functional differential equations

I. Kiguradze1 , N. Partsvania1 and B. Půža3

1Andrea Razmadze Mathematical Institute, 1 Aleksidze Street, 0193 Tbilisi, Georgia
3Department of Mathematics and Statistics, Masaryk University, Janá {c}kovo nám. 2a, 66295 Brno, Czech Republic

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.