Well-posedness and stability of mild solutions to neutral impulsive stochastic integro-differential equations

被引：2

作者：

Luo, Chaoliang ^{[1
]}

Guo, Shangjiang ^{[2
]}

机构：

[1] Hunan Univ Technol, Coll Sci, Zhuzhou 412007, Hunan, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

existence; mild solution; stochastic integro-differential equation; stability; uniqueness; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MOMENT EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; P-STABILITY; MEAN-SQUARE; EXISTENCE; CRITERIA;

D O I：

10.1002/mma.4663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the well-posedness and stability of mild solutions for a class of neutral impulsive stochastic integro-differential equations in a real separable Hilbert space. By the inequality technique combined with theory of resolvent operator, some sufficient conditions are established for the concerned problems. The obtained conclusions are completely new, which generalize and improve some existing results. An example is given to illustrate the effectiveness of our results.

引用

页码：1281 / 1296

页数：16

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