A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses

被引：15

作者：

Jiang, Feng ^{[1
]}

Yang, Hua ^{[2
,3
]}

Shen, Yi ^{[2
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China

[3] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 287卷

基金：

中国国家自然科学基金;

关键词：

Exponential stability; Second-order; Infinite delays; Impulses; Mild solutions; AUTOMORPHIC MILD SOLUTIONS; EVOLUTION EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; CONTROLLABILITY; DRIVEN; SYSTEMS;

D O I：

10.1016/j.amc.2016.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the problem on the exponential stability for second-order neutral stochastic partial differential equations with infinite delays is considered in the presence of impulses under some conditions. By employing the new integral inequality technique, some algebraic criteria of stability are established for the concerned problem and some existing results are generalized and improved. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained results. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：125 / 133

页数：9

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