On the averaging method for differential equations with delay

In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis.

Bibliographic Details
Main Author: Mustapha Lakrib
Format: Article
Language:English
Published: Texas State University 2002-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/65/abstr.html
Description
Summary:In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis.
ISSN:1072-6691