Global attracting sets and exponential stability of stochastic functional differential equations driven by the time-changed Brownian motion

AbstractIn this paper, Harnack inequalities are established for stochastic functional differential equations driven by fractional Brownian motion with Hurst parameter

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Razumikhin-type theorems on exponential stability of stochastic functional differential equations

Stochastic Processes and their Applications ◽

10.1016/s0304-4149(96)00109-3 ◽

1996 ◽

Vol 65 (2) ◽

pp. 233-250 ◽

Cited By ~ 127

Author(s):

Xuerong Mao

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Novel criteria for exponential stability in mean square of stochastic functional differential equations

Proceedings of the American Mathematical Society ◽

10.1090/proc/14994 ◽

2020 ◽

Vol 148 (8) ◽

pp. 3427-3436 ◽

Cited By ~ 1

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

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Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space

Statistics & Probability Letters ◽

10.1016/j.spl.2012.04.013 ◽

2012 ◽

Vol 82 (8) ◽

pp. 1549-1558 ◽

Cited By ~ 98

Author(s):

Brahim Boufoussi ◽

Salah Hajji

Keyword(s):

Hilbert Space ◽

Brownian Motion ◽

Differential Equations ◽

Fractional Brownian Motion ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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On exponential stability in mean square of neutral stochastic functional differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2021.104965 ◽

2021 ◽

Vol 154 ◽

pp. 104965

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

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Moment exponential stability and integrability of stochastic functional differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.098 ◽

2012 ◽

Vol 218 (10) ◽

pp. 6125-6134 ◽

Cited By ~ 2

Author(s):

Gorica Pavlović ◽

Svetlana Janković

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

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Practical exponential stability of impulsive stochastic functional differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2017.09.009 ◽

2017 ◽

Vol 109 ◽

pp. 43-48 ◽

Cited By ~ 9

Author(s):

Tomás Caraballo ◽

Mohamed Ali Hammami ◽

Lassaad Mchiri

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

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Mean square exponential stability for stochastic functional differential equations with impulses

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2013.13002 ◽

2013 ◽

Vol 1 ◽

pp. 15-22

Author(s):

Nan Ding

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Mean Square Exponential Stability ◽

Functional Differential ◽

Stochastic Functional

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