Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations

LIANG Qing

doi:10.21656/1000-0887.420267

Volume 43 Issue 9

Sep. 2022

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LIANG Qing. Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2022, 43(9): 1034-1044. doi: 10.21656/1000-0887.420267

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Asymptotic Properties of the Solutions to a Class of Perturbed Stochastic Impulsive Functional Differential Equations

doi: 10.21656/1000-0887.420267

LIANG Qing

College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P.R.China

Received Date: 2021-09-06
Rev Recd Date: 2022-07-03

Available Online: 2022-07-12

Publish Date: 2022-09-30

Abstract

Abstract

The asymptotic properties of the solutions to a class of perturbed stochastic impulsive functional differential equations were investigated. Through comparison of the solution to the perturbed equation with the solution to the corresponding unperturbed one, the sufficient conditions for these solutions to be close in a finite time interval were derived. Then, when small perturbations approach zero and the length of the time interval approaches infinity, the 2 solutions will still be close to each other. Finally, an example illustrates the effectiveness of the results.
- stochastic functional differential equation,
- impulse,
- perturbation,
- Itô formula

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References(20)

References

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