ASYMPTOTIC CONSTANCY FOR NONHOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, pp.100-107, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2003
- Journal Name: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.100-107
- Hacettepe University Affiliated: Yes
Abstract
Sufficient conditions are given for the asymptotic constancy of the solutions of a nonhomogeneous linear delay differential equation with unbounded delays. Moreover, it is shown that the limits of the solutions, as t -> infinity, can be computed in terms of the initial function and a special matrix solution of the corresponding adjoint equation.