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On the Stability of Solutions for Certain Second-order Stochastic Delay Differential Equations

Автор(ы):

A. M. A. Abou-El-Ela

Department of Mathematics,
Faculty of Science,
Assiut University.
Assiut 71516, Egypt.

a.el-ela@aun.edu.eg

A. I. Sadek

Department of Mathematics,
Faculty of Science,
Assiut University.
Assiut 71516, Egypt.

Sadeka1961@yahoo.com

A. M. Mahmoud

Department of Mathematics,
Faculty of Science,
New Valley Branch,
Assiut University.
New Valley, El-Khargah 72111, Egypt.

math_ayman27@yahoo.com

Аннотация:

In this paper, by constructing Lyapunov functionals we investigate sufficient conditions, for the stochastic asymptotic stability of the zero solution of certain second-order stochastic differential equations with delay. By defining an appropriate Lyapunov functionals, we prove two new theorems on the stochastic asymptotic stability. Our results improve and form a complement to some known recent results in the literature.

Ключевые слова

Ссылки:

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