Exponential Stability of Impulsive Neutral Stochastic Integrodifferential Equations Driven by a Poisson Jumps and Time-Varying Delays

被引：3

作者：

Anguraj, A. ^{[1
]}

Ravikumar, K. ^{[1
]}

Elsayed, E. M. ^{[2
,3
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

[2] King AbdulAziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

FILOMAT | 2020年 / 34卷 / 06期

关键词：

Resolvent operators; C-0-semigroup; Stochastic integrodifferential equations; Mild solutions; Exponential stability; PARTIAL-DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; EXISTENCE;

D O I：

10.2298/FIL2006809A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this work is to study the impulsive neutral stochastic integrodifferential equations driven by a Poisson jumps and time-varying delays. We use the theory of resolvent operators developed in Grimmer the prove an existence, uniqueness and we establish some conditions ensuring the exponential decay to zero in mean square for the mild solution by means of the Banach fixed point theory. Finally, an illustrative example is given to demonstrate the effectiveness of the results.

引用

页码：1809 / 1819

页数：11

共 15 条

[1]

Anguraj A., 2017, INT J PURE APPL MATH, V117, P283

[2]

[Anonymous], 2018, NONLINEAR DYN

[3]

[Anonymous], 2012, INT J MATH MATH SCI, DOI DOI 10.1155/2012/748590

[4]

[Anonymous], 1983, APPL MATH SCI

[5] PARTIAL-DIFFERENTIAL EQUATIONS WITH DELAYED RANDOM PERTURBATIONS - EXISTENCE, UNIQUENESS, AND STABILITY OF SOLUTIONS [J].

CARABALLO, T ;

REAL, J .

STOCHASTIC ANALYSIS AND APPLICATIONS, 1993, 11 (05) :497-511

[6] Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps [J].

Cui, Jing ;

Yan, Litan ;

Sun, Xichao .

STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) :1970-1977

[7]

Da Prato G., 1992, STOCHASTIC EQUATIONS

[8] Existence and regularity of solutions for neutral partial functional integrodifferential equations [J].

Ezzinbi, Khalil ;

Ghnimi, Saifeddine .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2335-2344

[9] Existence and stability of solutions of stochastic semilinear functional differential equations [J].

Govindan, TE .

STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) :1257-1280

[10] RESOLVENT OPERATORS FOR INTEGRAL-EQUATIONS IN A BANACH-SPACE [J].

GRIMMER, RC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (01) :333-349

← 1 2 →