[PDF] Top 20 Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays
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Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays
... The content of this paper is arranged as follows. In Section 2, some necessary definitions, notations, and lemmas used in this paper will be introduced. In Section 3, by establishing a lemma, some sufficient conditions ... See full document
15
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion
... where H ∈ (1/2, 1). Our method for investigating the stability of solutions is based on the Banach fixed point theorem. The obtained results generalize and improve the results due to Boufoussi and Hajji (Stat. ... See full document
15
Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps
... mean-square exponential stability of the trivial solution of NSFDEs with jumps, and examines the conditions under which the explicit EM method can reproduce the corresponding stability of the ... See full document
16
Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
... the neutral stochastic functional differential equations, and the neutral part, which has been used in investigating the qualitative properties of derivatives of delays for dynamical ... See full document
8
Stability analysis for second order stochastic neutral partial functional systems subject to infinite delays and impulses
... tic partial differential systems (SPDSs) has been discussed ...to stochastic fractional equations by a fixed point strategy and discussed complete controllability of stochastic evolution equa- ... See full document
11
New Exponential Stability Analysis for Certain Neutral Integro-Differential Equations with Non-Differentiable Interval Time-Varying Delays
... various stability analysis for uncertain neutral systems with state delays has been intensively studied by several researchers ...Since neutral delayed systems have already been applied in ... See full document
6
New delay range dependent exponential stability criteria for certain neutral differential equations with interval discrete and distributed time varying delays
... delay-dependent exponential stability analysis for certain neutral differential equations with discrete and distributed time-varying ...time-varying delays are continuous functions ... See full document
18
Stability in distribution of neutral stochastic partial differential delay equations driven by α stable process
... the stability in a distribution is an important notion like the stability in probability or in the moment of stochastic differential ...a stability is much weaker than stability in ... See full document
16
Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
... differential equations have undergone a rapid development in recent ...time delays and impulsive effects when investigating the stabil- ity of the dynamical systems, since impulsive perturbations can affect ... 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
... by stochastic differential ...and stability of solutions of stochastic differential equations have been studied by many researchers ...time delays but also derivatives with delays. ... See full document
19
Impulsive integral inequalities for attracting and quasi invariant sets of impulsive stochastic partial differential equations with infinite delays
... of stochastic partial differential equa- tions has been investigated by many authors, and some fruitful results have already been achieved (see ...the stability theory of stochastic ... See full document
11
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
Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory
... the stability theorems, it is not so suitable in the non-delay ...have stochastic differentials, so that one cannot apply the Itô formula to ...the stability of mild solutions should be developed and ... See full document
9
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... Pantograph differential equation was used by Ock- endon and Tayler [15] to investigate how the electric current is collected by the pantograph of an electric locomotive, from where it gets the ...tograph ... See full document
12
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations
... of neutral stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are much ... See full document
14
Weighted exponential stability for generalized delay functional differential equations with bounded delays
... Remark If the weight function ψ is one-to-one, then we could consider the substitution y(t) = ψ (t)x(t), where x(t) is a solution of (), and study the exponential stability of y(t) which is equivalent to ... See full document
13
Almost sure exponential stability of hybrid stochastic functional differential equations
... In this paper we investigated the almost sure exponential stability of the n-dimensional nonlinear hybrid SFDE (2.1). Under the Lipschitz condition, we showed that if the corresponding hybrid SDE (2.10) is ... See full document
19
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
Delay-dependent exponential stability of neutral stochastic delay systems (vol 54, pg 147, 2009)
... for exponential stability of (37) by other methods are listed in Table I, which shows that the results obtained by the methods proposed in this technical note are less conservative in these ... See full document
6
Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays
... asymptotic stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point ...square stability theorem with a necessary and ... See full document
11
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