一类三阶非线性时滞微分方程解的全局渐进稳定性与有界性

摘要

考虑一类三阶非线性时滞微分方程xº＋g（x，x痹）x¨＋f（x痹（t－τ1（t）））＋h（x）φ（x（t－τ2（t）））＝p（t，x，x痹，x¨）。利用Lyapunov第二方法，得到了使零解全局渐进稳定和所有解有界的充分性准则。%In this paper , the authors study a kind of non-linear third-order delay differential equations as follows, xº+g(x,xż)x¨+f(xż(t-τ1(t))) +h(x)φ(x(t-τ2(t))) =p(t,x,xż,x¨).By using the second method of Lyapunov, the researchers establish some sufficient conditions for the global asymptotic stability of the zero solution and the boundedness of all solutions to it .