首页|滞后微分方程在随机小扰动下惯性流形的逼近

滞后微分方程在随机小扰动下惯性流形的逼近

扫码查看
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。
The approximation of inertial manifolds for retarded differential equation under small random perturbations
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.

Brownian motionretarded differential equationssmall perturbationsinertial manifoldsconvergence

陈美贤、申俊

展开 >

四川大学数学学院,四川 成都 610064

布朗运动 滞后微分方程 小扰动 惯性流形 收敛

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
年,卷(期):2024.39(10)