吸引子
数学
拉回吸引子
独特性
紧凑空间
乘性噪声
拉回
数学分析
反应扩散系统
乘法函数
扩散
空格(标点符号)
应用数学
物理
计算机科学
热力学
信号传递函数
操作系统
计算机硬件
数字信号处理
模拟信号
摘要
A system of stochastic delayed reaction-diffusion equations with multiplicative noise and deterministic non-autonomous forcing is considered. We first prove the existence and uniqueness of a bi-spatial pullback attractor for these equations when the initial space is C−ρ,0,L2O and the terminate space is C−ρ,0,H01O. The asymptotic compactness of solutions in C−ρ,0,H01O is established by combining “positive and negative truncations” technique and some new estimates on solutions. Then the periodicity of the random attractors is proved when the stochastic delay equations are forced by periodic functions. Finally, upper semicontinuity of the global random attractors in the delay is obtained as the length of time delay approaches zero.
科研通智能强力驱动
Strongly Powered by AbleSci AI