On asymptotic solutions to delay differential equation with slowly varying coefficients Original Research Article

The object of this paper is to study a problem of construction of an approximate solution to the second-order weakly nonlinear ordinary delay differential equation with slowly varying coefficients. Based on asymptotic techniques of nonlinear mechanics, an algorithm for asymptotic integration of differential equation under consideration is given for the general case. Its efficiency is demonstrated by Duffing-type systems with delay as example.