Asymptotic stability of neutral stochastic functional integro-differential equations

被引：3

作者：

Diop, Mamadou Abdoul ^{[1
,2
]}

Caraballo, Tomas ^{[3
]}

机构：

[1] Univ Gaston Berger St Louis, St Louis, Senegal

[2] Ufr SAT, LANI, Dept Math, St Louis, Senegal

[3] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2015年 / 20卷

关键词：

Resolvent operators; C-0-semigroup; impulsive stochastic neutral partial functional integro-differential equations; Wiener process; mild solution; asymptotic stability; PARTIAL-DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; UNIQUENESS; EXISTENCE; SYSTEMS;

D O I：

10.1214/ECP.v20-3036

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achieve the required result. An example is provided to illustrate the theory developed in this work.

引用

页码：1 / 14

页数：14

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