Asymptotic Behavior of the Solutions of Stochastic Functional-Differential Equations

被引：0

作者：

Stanzhytskyi O.M. ^{[1
]}

Petryna G.O. ^{[1
]}

Denysenko N.L. ^{[2
]}

机构：

[1] T. Shevchenko Kyiv National University, Akad. Hlushkov Ave., 4e, Kyiv

[2] “I. Sikorsky Kyiv Polytechnic Institute” National Technical University of Ukraine, Peremohy Ave., 37, Kyiv

来源：

Journal of Mathematical Sciences | 2024年 / 278卷 / 6期

关键词：

D O I：

10.1007/s10958-024-06980-x

中图分类号：

学科分类号：

摘要：

We study the asymptotic behavior at infinity of the solutions of stochastic functional-differential equations by the method of asymptotic equivalence according to which a system of ordinary differential equations is constructed on the basis of the original stochastic system so that each solution of the stochastic system can be associated with a solution of the constructed deterministic system such that the difference between these solutions tends to zero as t → ∞ both in the mean square and with probability 1. © Springer Nature Switzerland AG 2024.

引用

页码：1102 / 1112

页数：10

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