Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation

被引：10

作者：

Abou-El-Ela, Ahmed Mohamed ^{[1
]}

Sadek, Abdel-Rahiem ^{[1
]}

Mahmoud, Ayman Mohammed ^{[2
]}

Farghaly, Eman Sayed ^{[1
]}

机构：

[1] Assiut Univ, Dept Math, Fac Sci, Assiut, Egypt

[2] Assiut Univ, New Valley Branch, Dept Math, Fac Sci, New Valley, El Khargah, Egypt

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 03期

关键词：

Asymptotic stability; nonautonomous second-order stochastic delay differential equation; Lyapunov functional; 3RD-ORDER;

D O I：

10.3906/mat-1508-62

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation (1.1) were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.

引用

页码：576 / 584

页数：9

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