Asymptotic stability of neutral stochastic functional integro-differential equations

被引：7
|
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.
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页码：1 / 14
页数：14
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