Partial Practical Exponential Stability of Neutral Stochastic Functional Differential Equations with Markovian Switching

被引：7

作者：

Caraballo, Tomas ^{[1
]}

Mchiri, Lassaad ^{[2
,3
]}

Rhaima, Mohamed ^{[2
,4
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, Seville 41012, Spain

[2] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh, Saudi Arabia

[3] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

[4] Univ Tunis Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 04期

关键词：

Neutral stochastic functional differential equations; Markovian switching; Lyapunov techniques; partial exponential stability; ASYMPTOTIC STABILITY;

D O I：

10.1007/s00009-021-01786-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential equations with Markovian switching. The main tool used to prove the results is the Lyapunov method. We analyze an illustrative example to show the applicability and interest of the main results.

引用

页数：26

共 50 条

[1] Partial Practical Exponential Stability of Neutral Stochastic Functional Differential Equations with Markovian Switching
Tomás Caraballo
Lassaad Mchiri
Mohamed Rhaima
[J]. Mediterranean Journal of Mathematics, 2021, 18
[2] Exponential stability of neutral stochastic differential functional equations with Markovian switching
Li, Xining
Zhang, Qimin
[J]. PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 377 - 381
[3] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
Ke Xiao
Shuyong Li
[J]. Journal of Systems Science and Complexity, 2023, 36 : 1560 - 1582
[4] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
Xiao, Ke
Li, Shuyong
[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (04) : 1560 - 1582
[5] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
XIAO Ke
LI Shuyong
[J]. Journal of Systems Science & Complexity, 2023, 36 (04) : 1560 - 1582
[6] Exponential Stability of Nonlinear Neutral Stochastic Differential Equations with Markovian Switching
Liu, Hongliang
Wang, Hui
Duan, Guangren
[J]. 2011 9TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2011), 2011, : 822 - 826
[7] Exponential stability of neutral stochastic delay differential equations with Markovian switching
Xu, Yan
He, Zhimin
[J]. APPLIED MATHEMATICS LETTERS, 2016, 52 : 64 - 73
[8] Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
Dezhi Liu
Weiqun Wang
Oleksiy Ignatyev
Wei Zhang
[J]. Advances in Difference Equations, 2012
[9] Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
Liu, Dezhi
Wang, Weiqun
Ignatyev, Oleksiy
Zhang, Wei
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 8
[10] Exponential stability for stochastic neutral partial functional differential equations
Luo, Jiaowan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (01) : 414 - 425

← 1 2 3 4 5 →