Global Stability of an Autonomous Stochastic Delay Differential Equation with Discontinuous Coefficients

被引：1
|
作者：
Zadvorny, Ya. B. [1 ]
机构：
[1] Belarusian State Univ, Minsk 220030, BELARUS
来源：
DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 06期
关键词：
EXISTENCE;
D O I：
10.1134/S0012266118060022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the stability and asymptotic stability of the zero solution of autonomous stochastic delay differential equations with discontinuous coefficients by the Lyapunov second method. For the equations under study, we obtain analogs of the Lyapunov stability theorem and the Barbashin-Krasovskii and Zubov asymptotic stability theorems for the zero solution.
引用
收藏
页码：716 / 727
页数：12
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