Stability and Boundedness of Solutions to a Certain Second-Order Nonautonomous Stochastic Differential Equation

被引：9

作者：

Ademola, A. T. ^{[1
]}

Moyo, S. ^{[2
,3
]}

Ogundare, B. S. ^{[1
]}

Ogundiran, M. O. ^{[1
]}

Adesina, O. A. ^{[1
]}

机构：

[1] Obafemi Awolowo Univ, Dept Math, RGDEA, Ife 220005, Nigeria

[2] Durban Univ Technol, Inst Syst Sci & Res, Durban 4000, South Africa

[3] Durban Univ Technol, Postgrad Support Directorate, ZA-4000 Durban, South Africa

来源：

INTERNATIONAL JOURNAL OF ANALYSIS | 2016年

关键词：

D O I：

10.1155/2016/2012315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper focuses on stability and boundedness of certain nonlinear nonautonomous second-order stochastic differential equations. Lyapunov's second method is employed by constructing a suitable complete Lyapunov function and is used to obtain criteria, on the nonlinear functions, that guarantee stability and boundedness of solutions. Our results are new; in fact, according to our observations from the relevant literature, this is the first attempt on stability and boundedness of solutions of second-order nonlinear nonautonomous stochastic differential equations. Finally, examples together with their numerical simulations are given to authenticate and affirm the correctness of the obtained results.

引用

页数：11

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[2]

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