Abstract
In this paper we present an extension of the Alekseev variation of constant formula for a nonlinear neutral functional differential equation and make an application to the relative asymptotic equivalence between the solutions of the systems: (1) (d dt) Dy 1 = f(t, y t) and (2) (d dt) Dx t = f(t, x t) + g(t, x t) , where the equation (1) is a nonlinear system of neutral functional differential equation with f and g mapping bounded closed sets into bounded sets.
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