内江师范学院学报2024,Vol.39Issue(10) :31-35.DOI:10.13603/j.cnki.51-1621/z.2024.10.005

滞后微分方程在随机小扰动下惯性流形的逼近

The approximation of inertial manifolds for retarded differential equation under small random perturbations

陈美贤 申俊
内江师范学院学报2024,Vol.39Issue(10) :31-35.DOI:10.13603/j.cnki.51-1621/z.2024.10.005

滞后微分方程在随机小扰动下惯性流形的逼近

The approximation of inertial manifolds for retarded differential equation under small random perturbations

陈美贤 1申俊1
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作者信息

  • 1. 四川大学数学学院,四川 成都 610064
  • 折叠

摘要

考虑一类带着随机小扰动的滞后微分方程的惯性流形逼近问题.在适当条件下证明当小参数ε→0时,这类受加性白噪声驱动的随机滞后方程的惯性流形逐点收敛到对应的随机方程的惯性流形.

Abstract

The approximation of inertia manifolds for a class of retarded differential equations with stochastic small per-turbations.Under appropriate conditions,it is proved that the inertial manifolds for this class of stochastic retarded equations driven by additive white noise converge pointwise to those of the corresponding random equations,as the small perturbations ε→ 0.

关键词

布朗运动/滞后微分方程/小扰动/惯性流形/收敛

Key words

Brownian motion/retarded differential equations/small perturbations/inertial manifolds/convergence

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出版年

2024
内江师范学院学报
内江师范学院

内江师范学院学报

影响因子:0.299
ISSN:1671-1785
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