Electronic Journal of Differential Equations, Vol. 2001(2001), No. 55, pp. 1-11. Title: L^p perturbations in delay differential equations Authors: Samuel Castillo (Univ. del Bio-Bio, Concepcion, Chile) Manuel Pinto (Univ. de Chile, Santiago, Chile) Abstract: We present extensions and new proofs for the asymptotic formulae and theorems in Cooke [3] for differential equations with variable delay. Explicit asymptotic formulae, examples and comparisons with the classical results are given here. Submitted January 11, 2001. Published July 27, 2001. Math Subject Classifications: 34K25, 34K20. Key Words: Delay differential equations; variable delay; integral-differential equation; asymptotic formula.