Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
Hüseyin Bereketoğlu, Mihály Pituk · Conference Publications · 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.