ASYMPTOTIC CONSTANCY FOR NONHOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS


Bereketoglu H., Pituk M.

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

  • Cilt numarası:
  • Basım Tarihi: 2003
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Sayfa Sayıları: ss.100-107

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.