Asymptotic Stability for Nonautonomous Scalar Neutral Differential Equations*

Consider the scalar linear delay differential equation d dtwx t.yP t.x tyt.xqQ t.x tyd.s0, tGt0 , where t , d g 0, `., PgC wt0,`.,R., and QgC wt0,`.,w0,`... We obtain sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable