Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays

Hüseyin Bereketoğlu; Mihály Pituk

doi:10.3934/proc.2003.2003.100

Article Contents

2003, Volume 2003: 100-107. Doi: 10.3934/proc.2003.2003.100 open access

This issue Previous Article Stochastic stability of some mechanical systems with a multiplicative white noise Next Article Oscillation of second order difference equations with advanced argument

Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays

Hüseyin Bereketoğlu^1, and
Mihály Pituk^2,

1.
Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandoğan-Ankara
2.
Department of Mathematics and Computing, University of Veszprém, P.O. Box 158, 8201 Veszprém

Received: August 2002

Revised: March 2003

Published: March 2003

Abstract Related Papers Cited by

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 $t \to \infty$, can be computed in terms of the initial function and a special matrix solution of the corresponding adjoint equation.

Keywords:

Mathematics Subject Classification: Primary 34K06, 34K25.

Citation:

Article Metrics

HTML views() PDF downloads(150) Cited by(0)

Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content