一阶线性中立型微分方程解的稳定性

Stability of Solutions of First Order Linear Neutral Differential Equations

本文讨论方程其中c、p_i∈c([t_0,∞),R),0≤c(t)≤1.τ≥0,i=1,2,…,n.通过对方程(1)的非振动解及振动解的渐近性研究,我们得到了方程(1)的平凡解渐近稳定的新的充分条件.

In this paper is considered the differential equation (1) where c、 P_i∈c([t_0 ∞),R), 0≤c(t)≤1 and τ_i≤0 for i=l, 2, …, n. Now sufficient conditions for the asymptotic stability of the trivial solution of (1) are obtained by investigating the asymptotic behavior of the nonoscillatory solutions of (1) and then of the oscillatory solutions.