Teresa Janiak and Elzbieta Luczak-Kumorek

Abstract

        We consider the problem of applying the averaging method to the asymptotic approximation of solutions of functional - differential equations of neutral type \dot x(t) Îe F(t,x_t , \dot x_t ) in the case where the average of the right-hand side does not exist. Our paper generalizes results of W. A. Plotnikow, W. M.Sawczenko from [8] where the generalized system \dotx(t)ÎeF(t,x) was investigated.