比较原理和无限时滞随机泛函微分方程解的稳定性

doi:10.3969/j.issn.1007-7162.2015.04.016

广东工业大学学报 ›› 2015, Vol. 32 ›› Issue (04): 88-91.doi: 10.3969/j.issn.1007-7162.2015.04.016

比较原理和无限时滞随机泛函微分方程解的稳定性

王琳，卢钻仪，周志权，黄泽滨，温营浩，林逢春

广东工业大学应用数学学院，广东广州 510520

收稿日期:2015-04-11 出版日期:2015-12-04 发布日期:2015-12-04
作者简介:王琳（1980-），女，讲师，博士，主要研究方向为随机动力系统理论.
基金资助:
国家自然科学基金资助项目（11201083）；大学生创新训练项目（1184513257）

Comparison Principle and Stability of Stochastic FunctionalDifferential Equations with Infinite Delay

Wang Lin， Lu Zuan-yi, Zhou Zhi-quan, Huang Ze-bin, Wen Ying-hao, Lin Feng-chun

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Received:2015-04-11 Online:2015-12-04 Published:2015-12-04

摘要/Abstract

摘要： 为无限时滞随机泛函微分方程建立一个新的比较原理,再利用该比较原理得到上述方程的(h₀,h)-稳定性的判据.

关键词: 比较原理; (h₀, h)－稳定性;无限时滞

Abstract: In this paper, a new comparison principle for stochastic functional differential equations with infinite delay is established. Then, using this comparison principle, the researchers obtain (h₀,h)-stability for this kind of equations.

Key words: comparison principle; (h₀, h)-stability; infinite delay

王琳, 卢钻仪, 周志权, 黄泽滨, 温营浩, 林逢春. 比较原理和无限时滞随机泛函微分方程解的稳定性[J]. 广东工业大学学报, 2015, 32(04): 88-91.

WANG Lin, LU Zuan-Yi, ZHOU Zhi-Quan, HUANG Ze-Bin, WEN Ying-Hao, LIN Feng-Chun. Comparison Principle and Stability of Stochastic FunctionalDifferential Equations with Infinite Delay[J]. Journal of Guangdong University of Technology, 2015, 32(04): 88-91.

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比较原理和无限时滞随机泛函微分方程解的稳定性

Comparison Principle and Stability of Stochastic FunctionalDifferential Equations with Infinite Delay

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