Asymptotic stability of nonlinear impulsive stochastic differential equations

R Sakthivel, J Luo - Statistics & probability letters, 2009 - Elsevier
Asymptotic stability of nonlinear impulsive stochastic differential equations - ScienceDirect
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Asymptotic stability of impulsive stochastic partial differential equations with infinite delays

R Sakthivel, J Luo - Journal of Mathematical Analysis and Applications, 2009 - Elsevier
In this paper, we study the existence and asymptotic stability in pth moment of mild solutions
to nonlinear impulsive stochastic partial differential equations with infinite delay. By …

[图书][B] Almost periodic stochastic processes

PH Bezandry, T Diagana - 2011 - books.google.com
This book lays the foundations for a theory on almost periodic stochastic processes and their
applications to various stochastic differential equations, functional differential equations with …

Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays

J Luo - Journal of Mathematical Analysis and Applications, 2008 - Elsevier
The fixed-point theory is first used to consider the stability for stochastic partial differential
equations with delays. Some conditions for the exponential stability in pth mean as well as in …

Stability of mild solutions of stochastic evolution equations with variable delay

TE Govindan - 2003 - Taylor & Francis
In this paper, we consider the existence and stability problems associated with semilinear
stochastic evolution equations with variable delay in infinite dimensions. To be precise, we …

On exponential stability of mild solutions for some stochastic partial integrodifferential equations

M Dieye, MA Diop, K Ezzinbi - Statistics & Probability Letters, 2017 - Elsevier
In this work, we study the existence and exponentially stability in p-mean square for some
stochastic integrodifferential equation with delays. Also pathwise exponential stability is …

Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays

H Chen - Statistics & Probability Letters, 2010 - Elsevier
In this letter, by establishing an impulsive-integral inequality, some sufficient conditions
about the exponential stability in p (p≥ 2)-moment of a mild solution for an impulsive …

[PDF][PDF] Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with state-dependent delay

Z Yan, H Zhang - Electron. J. Differ. Equ, 2013 - ejde.math.txstate.edu
In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of
fractional impulsive partial neutral stochastic integro-differential equations with state …

Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps

J Cui, L Yan, X Sun - Statistics & probability letters, 2011 - Elsevier
In this paper, we consider a class of neutral stochastic partial differential equations with
delays and Poisson jumps. Sufficient conditions for the existence and exponential stability in …

Fixed points and stability of stochastic neutral partial differential equations with infinite delays

J Luo, T Taniguchi - Stochastic Analysis and Applications, 2009 - Taylor & Francis
In this article, we study the existence and the asymptotical stability in mean square of mild
solutions to stochastic neutral partial differential equations with infinite delays where t− τ (t) …