[PDF] Top 20 The p th moment asymptotic stability and exponential stability of stochastic functional differential equations with polynomial growth condition
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The p th moment asymptotic stability and exponential stability of stochastic functional differential equations with polynomial growth condition
... mial growth condition? Is there a unique global solution? If yes, under what conditions do SFDEs have the properties of the pth moment asymptotic stability and the exponen- tial ... See full document
24
Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps
... of stochastic system model, and their stability analysis has attracted considerable attention in recent ...most stochastic systems cannot be solved explicitly, the research on stochastic ... See full document
16
Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations
... In the next section, we give some necessary notations and the continuous and discrete semimartingale convergence theorems as lemmas for the use of this paper. Motivated by the existing stability results for the ... See full document
22
Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method
... The state variables on the impulses relate to the finite delay, which implies that the impulsive effects are more general than those given in [20,22,23]. Some Theorems on the pth moment exponential ... See full document
18
Mean square exponential and non exponential asymptotic stability of impulsive stochastic Volterra equations
... the stability of stochastic differential equations has gained lots of attention over the last ...the exponential stability for stochastic delay partial differential ... See full document
14
On pth moment exponential stability of stochastic differential equations with Markovian switching and time varying delay
... pth moment exponential stability of stochastic differential delay equations with Markovian ...pth moment exponential stability for general nonlinear ... See full document
11
Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations
... Lipschitz condition of the coefficients f and g , the EM approximate solution to the SDE ...Lipschitz condition does not hold, then the EM method cannot guarantee to preserve exponential mean-square ... See full document
21
Exponential stability of fractional stochastic differential equations with distributed delay
... a stochastic delay differential equation driven by a fractional Brow- nian motion with Hurst parameter H > ...for stochastic delay differential equations with hereditary drift driven by a fractional ... See full document
8
Almost sure exponential stability in the numerical simulation of stochastic differential equations
... where stochastic stability means almost sure exponential stability, these problems would be solved to a certain ...sure exponential stability in two ...Lipschitz ... See full document
20
Existence and exponential stability in the pth moment for impulsive neutral stochastic integro differential equations driven by mixed fractional Brownian motion
... differential equations in their ...and stability [20–25] of the impulsive stochastic differential equation were in- ...mean-square exponential stability of a mild solution of impulsive ... See full document
19
Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations
... Most stochastic differential equations (SDEs) are nonlinear and cannot be solved explicitly, whence numerical solutions are required in ...Lipschitz condition and the linear growth ... See full document
6
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
... the stochastic differential equations with respect to Brownian motion and fractional Brownian ...the exponential stability in the pth moment of mild solution of mixed NSFPDE ... See full document
15
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... the stability and asymptotic stability of the equations (see also Kolmanovskii and Myshkis ...the exponential stability of such equations has not been studied until ... See full document
14
Razumikhin type theorem and mean square asymptotic behavior of the backward Euler method for neutral stochastic pantograph equations
... Razumikhin-type stability theorems of neutral stochastic functional differential equations (NFDEs) were investigated by several authors, but there was almost no Razumikhin-type theorems on the ... See full document
15
Convergence and stability of stochastic parabolic functional differential equations
... the exponential stability for stochastic delay partial differential equations by energy ...pth-moment stability region for stochastic partial differential equation with de- ... See full document
12
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 switching without ... See full document
12
Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations
... Lipschitz condition but replace the linear growth condition by a more general condition in order to guarantee the existence of a unique global ...general condition, we need a few more ... See full document
8
Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
... partial stability as a new concept plays the key role, and the systems are often determined by all kinds of equa- tions, including stochastic differential equations, of ...partial stochastic ... See full document
8
Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching
... The stability problem of SDDEs with Markovian switching under different settings has been discussed, for example, in [10]-[13], ...the asymptotic stability and boundedness of SDDEs with Markovian ... See full document
29
Almost sure exponential stability of hybrid stochastic functional differential equations
... sure exponential stability of the n-dimensional nonlinear hybrid SFDE ...Lipschitz condition, we showed that if the corresponding hybrid SDE ... See full document
19
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