Mahdi Monje, Zaid A. A. and Ahmed, Buthainah A. A.
Subjects
*DIFFERENTIAL equations, *FIXED point theory, *NONLINEAR operators, *BANACH spaces, *MATHEMATICS
Abstract
In this paper we investigate the stability and asymptotic stability of the zero solution for the first order delay differential equation þ(t)=-ΣNj=1(t)y(t-τj(t))+f(t,y(t-964;(t)) where the delay is variable and by using Banach fixed point theorem. We give new conditions to ensure the stability and asymptotic stability of the zero solution of this equation. [ABSTRACT FROM AUTHOR]