应用数学2025，Vol.38Issue(2)：402-411,10.
非自治分数阶格点系统的不变测度
Invariant Measures of Non-autonomous Fractional Lattice System
摘要
Abstract
This paper investigates the invariant measures of non-autonomous fractional lattice systems.Firstly,we prove the existence of a unique D-pullback attractor {A(t):t ∈ R} in the system.Secondly,we construct a family of invariant probability measures {μt:t ∈ R},and prove that the rela-tionship between the invariant measures {μt:t ∈ R} and D-pullback attractors is the compact support ofμt is contained in A(t).关键词
D-拉回吸引子/不变测度/非自治格点系统/离散分数阶拉普拉斯算子Key words
D-pullback attractor/Invariant measure/Non-autonomous lattice system/Discrete fractional Laplace operator分类
数理科学引用本文复制引用
汪洪涛,黎定仕..非自治分数阶格点系统的不变测度[J].应用数学,2025,38(2):402-411,10.基金项目
国家自然科学基金(11971394,12371178) （11971394,12371178）
中央引导地方基金(2023ZYD0002). （2023ZYD0002）
