Time-varying coefficients neutral differential equations: on asymptotic properties

Abstract

The main purpose of the present paper is to investigate asymptotic properties of a class of neutral differential equations of the formx(s)ds = e(t).(1)Using the Lyapunov direct method, the condition of stability of trivial solution for equation ( 1) with e(t) = 0 is given. With respect to e(t) = 0 , the boundedness of solutions of equation ( 1) is also obtained. Two examples are provided to illustrate the results.