Asymptotic behavior of certain delay differential equations with forcing term ✩

We study the asymptotic behavior of solutions of the following forced delay differential equation: x (t )=−p(t)f x(t − τ) + r(t), t 0. Some sufficient conditions that guarantee every solution of the equation to converge to zero are obtained. The results obtained are applied to some well-known delay differential ecological equations with forcing term.  2003 Elsevier Science (USA). All rights reserved