[PDF] Top 20 Exponential stability of fractional stochastic differential equations with distributed delay
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Exponential stability of fractional stochastic differential equations with distributed delay
... Fractional Brownian motion (fBm) was first studied in by Kolmogorov [], who de- fined it in a Hilbert space and named it a Wiener helix. Until , Mandelbrot and Van Ness [] provided the stochastic ... See full document
8
New delay range dependent exponential stability criteria for certain neutral differential equations with interval discrete and distributed time varying delays
... []. Stability analysis of uncertain neutral stochastic systems with time-varying delays has received the attention of a lot of theoreticians and engineers in this field over the last few decades ...of ... See full document
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Delay-dependent exponential stability of neutral stochastic delay systems (vol 54, pg 147, 2009)
... and g('; t) satisfy the local Lipschitz condition and the linear growth condition. It is easy to verify, by the way of induction proposed in the proof of Theorem 3.1, p208, [16], that there exists a unique continuous ... See full document
6
Weighted exponential stability for generalized delay functional differential equations with bounded delays
... differential equations with several bounded delays are ...of delay operators and they generalize many well-known types of delay differential equations in the literature, such as differential ... See full document
13
Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time varying delay
... the stability problem of mild solutions of impulsive stochastic differential equations driven by a fractional Brown motion with finite time-varying ...the fractional Brown motion belongs ... See full document
23
Almost sure exponential stability in the numerical simulation of stochastic differential equations
... where stochastic stability means exponential stability in mean square, results that answer (Q1) and (Q2) for scalar, linear systems can be found in [7, 20, ...the stability of numerical ... See full document
20
The existence and exponential stability of random impulsive fractional differential equations
... This paper studies the properties of solutions to system (1.1) by using the theory of func- tional differential equation, fractional differential equation, and stochastic analysis tech- niques. Firstly, we ... See full document
17
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... on stability for highly nonlinear stochastic delay ...the stability and boundedness for nonlinear stochastic differential delay equations (SDDEs) with Markovian ... See full document
12
On pth moment exponential stability of stochastic differential equations with Markovian switching and time varying delay
... moment exponential stability of a general nonlinear stochastic differential equation with Marko- vian switching and time-varying ...using stochastic analysis techniques, we establish a set of ... See full document
11
Almost sure exponential stability of hybrid stochastic functional differential equations
... dx(t) = σx(t − τ )dB(t), (1.2) where B(t) is a scalar Brownian motion and σ is positive number. They showed that the SDDE (1.2) is almost surely exponentially stable provided the time delay τ is sufficiently small. ... See full document
19
Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
... the exponential stability in the pth moment of impul- sive stochastic neutral partial differential equations with ...neutral stochastic partial differential equations with infinite ... See full document
20
Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays
... the stability for mild solution to neutral stochastic partial differential equations with delays since the neutral item is ...the exponential stability of mild solution for neutral ... See full document
15
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... neutral stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are much more ... See full document
14
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
... Remark 3.3 When σ ≡ 0,p = 2, then Eq. (2.4) reduces to a NSFPDE only driven by Brow- nian motion in which the exponential stability in mean square of mild solution has been studied by Luo [13]. Obviously, ... See full document
15
Comparison principle and stability for a class of stochastic fractional differential equations
... of stochastic fractional differential ...some stability criteria, which include the stability in probability, uniform stability in probability, asymptotic stability in ... See full document
11
Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations
... To the best knowledge of authors, there is no similar result about almost sure stabil- ity of Runge-Kutta type methods for SDDEs, and nearly all existing results concerned with Euler-Maruyama type schemes. Recently, ... See full document
8
Almost sure exponential stability of numerical solutions for stochastic delay differential equations
... sure exponential stability of the exact solution to ...sure exponential stability of the EM approximations in ...sure stability property without the linear growth ...sure ... See full document
17
Almost Sure Exponential Stability of Stochastic Differential Delay Equations on Time Scales
... of differential and difference equations into a single set-up, the theory of analysis on time scales has received much attention from many research ...dynamic equations on time scales have been ... See full document
12
Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations
... the exponential stability in mean square of the exponential Euler method to linear stochastic delay differential equations ...classical stability theorem to LSDDEs ... See full document
6
Stabilisation of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay
... for stochastic differential equations with Marko- vian switching was initialled by Mao ...time delay in the control function. Therefore, the time delay is taken into account for the ... See full document
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