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分数阶Brown运动驱动下随机Volterra-Levin方程分布的稳定性

贾秀利 关丽红

吉林大学学报(理学版)2017,Vol.55Issue(5):1187-1191,5.
吉林大学学报(理学版)2017,Vol.55Issue(5):1187-1191,5.DOI:10.13413/j.cnki.jdxblxb.2017.05.28

分数阶Brown运动驱动下随机Volterra-Levin方程分布的稳定性

Stability in Distribution of Stochastic Volterra-Levin Equations Driven by Fractional Brownian Motion

贾秀利 1关丽红2

作者信息

  • 1. 吉林工商学院基础部,长春130507
  • 2. 长春大学理学院,长春130022
  • 折叠

摘要

Abstract

We studied stochastic Volterra-Levin equations driven by fractional Brownian motion.Aiming at the problem that the stability in probability and the exponential stability were sometimes too strong in some cases,we discussed a kind of weaker stability:the stability in distribution,and obtained the stability conditions in distribution of the segment process of the solutions.

关键词

随机Volterra-Levin方程/分数阶Brown运动/分布稳定性

Key words

stochastic Volterra-Levin equation/fractional Brownian motion/stability in distribution

分类

数理科学

引用本文复制引用

贾秀利,关丽红..分数阶Brown运动驱动下随机Volterra-Levin方程分布的稳定性[J].吉林大学学报(理学版),2017,55(5):1187-1191,5.

基金项目

吉林省教育厅“十三五”科学技术研究项目(批准号:2014-LY-4-08-L09). (批准号:2014-LY-4-08-L09)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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