ASYMPTOTIC CONSTANCY FOR NONHOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS

Bereketoglu H., Pituk M.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2003
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.100-107
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.