一类二阶中立随机偏微分方程的吸引集和拟不变集

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1135-1143.

一类二阶中立随机偏微分方程的吸引集和拟不变集

范英飞,章国鹏,江欣国*(),马剑

西南交通大学交通运输与物流学院, 综合交通智能化国家地方联合工程实验室成都 610031

收稿日期:2017-08-09 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 江欣国 E-mail:fanyf@my.swjtu.edu.cn
基金资助:
国家自然科学基金面上项目(71771191);国家自然科学基金面上项目(71473207);成都市科技项目(2015-RK00-00171-ZF);西南交通大学博士研究生创新

Attracting and Quasi-Invariant Sets of Second-Order Neutral Stochastic Partial Differential Equations

Yingfei Fan,Guopeng Zhang,Xinguo Jiang*(),jian Ma

School of Transportation and Logistics, National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu 610031

Received:2017-08-09 Online:2018-12-26 Published:2018-12-27
Contact: Xinguo Jiang E-mail:fanyf@my.swjtu.edu.cn
Supported by:
the NSFC(71771191);the NSFC(71473207);CSTP(2015-RK00-00171-ZF);the Doctoral Innovation Fund Program of Southwest Jiaotong University

摘要/Abstract

摘要：

研究了一类二阶中立随机偏微分方程.运用随机分析与不等式技巧，获得了这类方程存在吸引集和拟不变集的充分条件，推广了一些已有的相关结果.

关键词: 吸引, 拟不变, 二阶, 随机, 偏微分

Abstract:

This paper is concerned with the second-order neutral stochastic partial differential equations. By using stochastic analysis and inequality techniques, sufficient conditions for the existence of attracting and quasi invariant sets are obtained. Some existing related results are generalized.

Key words: Attracting, Quasi-invariant, Second-order, Stochastic, Partial differential

中图分类号:

O175.23

范英飞, 章国鹏, 江欣国, 马剑. 一类二阶中立随机偏微分方程的吸引集和拟不变集[J]. 数学物理学报, 2018, 38(6): 1135-1143.

Yingfei Fan, Guopeng Zhang, Xinguo Jiang, jian Ma. Attracting and Quasi-Invariant Sets of Second-Order Neutral Stochastic Partial Differential Equations[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1135-1143.

参考文献 18

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