一致渐近稳定性 meaning in English
uniformly asymptotic stability
Examples
- On the uniformity of asymptotic stability for a class of neutral functional differential equations
中立型泛函微分方程零解的一致渐近稳定性 - With the help of the more general and effective lyapunov functionals , we derive new criteria for the uniformly asymptotic stability
文中构造的lyapunov泛函更具一般性，且更为有效，得到了一致渐近稳定性的新判据。 - In this paper , sufficient conditions are given for impulsive functional differential asymptotic stability of impulsive functional differential equation of the form ( the equation is abbreviated ) and these conditions extend or improve the corresponding ones in [ 7 - 9 ]
摘要该文讨论脉冲泛函微分方程(方程式略)给出了方程零解渐近稳定性和一致渐近稳定性的充分条件，指出这些条件推广或改进了文献[ 7 - 9 ]的相应结论。 - The tree of this paper is as follows : in chapter 2 , we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays . then , we deal with the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations
本文内容具体安排如下：第二章，我们首先研究一类具有限变时滞的线性及非线性差分微分方程系统的零解的一致渐近稳定性，然后讨论在周期扰动和概周期扰动下，相应系统的周期解和概周期解的存在唯一性及稳定性。 - By constructing suitable lyapunov functionals , we explore the uniformly asymptotic stability of a class of retarded functional differential equations with finite and infinite delays , via lyapunov second method , especially the delays here vary with time . moreover , we study the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions of the corresponding systems with periodic perturbations arid almost periodic perturbations . more general and applicable results are derived , which improve and generalize the main results in [ 23 . 24 ]
本文将运用lyapunov第二方法，通过构造适当的lyapunov泛函来研究一类具有限变时滞与具无限时滞及变时滞的滞后型泛函微分方程的一致渐近稳定性，并以此为基础进一步来研究相应的周期扰动和概周期扰动系统的周期解和概周期解的存在唯一性及稳定性，得到了更为一般和更易于应用的结果，推广并改进了文献[ 23 ， 24 ]中已有的结果。