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2003, 2003(Special): 100-107. doi: 10.3934/proc.2003.2003.100

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, Turkey
2. 

Department of Mathematics and Computing, University of Veszprém, P.O. Box 158, 8201 Veszprém, Hungary

Received  August 2002 Revised  March 2003 Published  April 2003

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: nonhomogeneous linear equation, asymptotic constancy, adjoint equation., Delay differential equation.
Mathematics Subject Classification: Primary 34K06, 34K2.
Citation: Hüseyin Bereketoğlu, Mihály Pituk. Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays. Conference Publications, 2003, 2003 (Special) : 100-107. doi: 10.3934/proc.2003.2003.100
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