具有扰动项的中立型时滞微分方程的渐近稳定性

Asymptotoc Stability of Perturbing Neutral Delay Equation with Positive-Negative Coefficients

本文考虑含扰动项的具有正负系数的中立型泛函微分方程一致稳定和渐近稳定的充分条件,推广了现有文献中的结论.

This paper deals with the problem on the asymptotic stability and uniform stability of perturbing neutral delay differential equation d/dt[x（t）-P（t）x（1-τ）]＋Q（t）x（t-δ）-R（t）x（t-σ）＋b（t）x（t）=0,t≥t0 It obtains some suffici~,nt e^llditions for the zero solutiol, of this eqtlation to be stable as well as uniformly stable.