ASYMPTOTIC CONSTANCY FOR NONHOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS

Bereketoglu H., Pituk M.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, pp.100-107, 2003 (SCI-Expanded) identifier

  • 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.