数学
解决方案
布朗运动
格子(音乐)
不动点定理
数学分析
指数稳定性
分数布朗运动
Banach不动点定理
巴拿赫空间
固定点
应用数学
纯数学
非线性系统
统计
物理
量子力学
声学
出处
期刊:Journal of Integral Equations and Applications
[Rocky Mountain Mathematics Consortium]
日期:2022-09-01
卷期号:34 (3)
标识
DOI:10.1216/jie.2022.34.357
摘要
We prove a new result of resolvent operators generated by the lattice operator, and investigate the existence and asymptotic stability of mild solutions for a class of lattice stochastic integrodifferential equations with infinite delays driven by fractional Brownian motion. With the help of the Banach fixed point theorem and some inequality techniques, the existence of mild solutions are obtained. We give some sufficient conditions to ensure the asymptotic stability of mild solutions in the mean square moment.
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