Asymptotic Equivalence and Uniform Asymptotic(UA) Stability in Volterra Difference Equations 线性Volterra差分方程解的一致渐近(UA)稳定性和渐近等价性
The stability problem in sequence differential difference equation with infinite delay is studied in this paper by introducing a new discrete space C_h ~ d, which is a Banach space and the necessary and sufficient conditions for uniform stability and uniform asymptotic stability are obtained, respectively. 通过介绍一种新的离散相空间Cd~h(Cd~h是Banach空间)研究了具有无穷时滞的序列差分方程的稳定性问题,并相应给出了一致稳定和一致渐近(UA)稳定的充要条件。
In this paper, we use the method of approximating coefficients to study the uniform asymptotic stability of linear and nonlinear delay systems and give the, criterions of uniform asymptotic stability of the systems. 本文利用系数逼近法研究了时滞线性和非线性系统解的一致渐近(UA)稳定性,给出了一致渐近(UA)稳定性判别法则。
In this paper, we discuss the stability of retarded and neutral functional differential equations and, employing Liapunov functionals, we obtain some sufficient conditions for uniform stability and uniform asymptotic stability. 在文[1]的启发下,本文讨论了滞后型和中立型泛函微分方程的稳定性问题,并利用李雅普诺夫泛函方法,得到了一致稳定、一致渐近(UA)稳定的充分条件。
The criterions of uniform asymptotic stability of linear and nonlinear delay systems 时滞线性和非线性系统的一致渐近(UA)稳定性