Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays. (English) Zbl 1071.34080

Bereketoğlu, Hüseyin; Pituk, Mihály

Discrete Contin. Dyn. Syst. 2003, Suppl. Vol., 100-107 (2003).

This paper offers sufficient conditions for asymptotic constancy of solutions of nonhomogeneous linear delay differential equations with unbounded delay. It is shown that the limits of the solutions can be computed in terms of the initial conditions and a special matrix solution of the corresponding adjoint equation.

Reviewer: Mingshu Peng (St. John’s)

MSC:

34K25	Asymptotic theory of functional-differential equations
34K06	Linear functional-differential equations

Keywords:

delay differential equation; nonhomogeneous linear equation; asymptotic constancy; adjoint equation.