Journal of Applied Mathematics 
Volume 2003 (2003), Issue 1, Pages 1-16
doi:10.1155/S1110757X03203077

Time averaging for functional differential equations

Mustapha Lakrib

Laboratoire de Mathématiques, Université de Haute Alsace, 4 rue des Frères Lumière, Mulhouse 68093, France

Received 14 March 2002; Revised 1 August 2002

Abstract

We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.