Results 1 to 10 of about 114,687,083 (175)

Mean square exponential stability of impulsive stochastic difference equations [PDF]

open access: yesApplied Mathematics Letters, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yang, Daoyi Xu
exaly   +5 more sources

Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations [PDF]

open access: yesJournal of Inequalities and Applications, 2011
In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean
Zhao Dianli, Han Dong
doaj   +4 more sources

Exponential mean-square stability properties of stochastic linear multistep methods [PDF]

open access: yesAdvances in Computational Mathematics, 2021
AbstractThe aim of this paper is the analysis of exponential mean-square stability properties of nonlinear stochastic linear multistep methods. In particular it is known that, under certain hypothesis on the drift and diffusion terms of the equation, exponential mean-square contractivity is visible: the qualitative feature of the exact problem is here ...
Evelyn Buckwar, Raffaele D'Ambrosio
openaire   +5 more sources

Asymptotical Stability and Exponential Stability in Mean Square of Impulsive Stochastic Time-Varying Neural Network

open access: yesIEEE Access, 2023
The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network.
Yueli Huang, Ailong Wu
doaj   +3 more sources

Nonuniform mean-square exponential dichotomies and mean-square exponential stability [PDF]

open access: yesNonlinear Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hailong Zhu, Li Chen
openaire   +3 more sources

Quantitative Mean Square Exponential Stability and Stabilization of Linear Itô Stochastic Markovian Jump Systems Driven by Both Brownian and Poisson Noises

open access: yesMathematics, 2022
In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang   +4 more
doaj   +1 more source

On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square

open access: yesApplied Mathematics & Optimization, 2021
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial ...
Tomás Caraballo   +2 more
openaire   +3 more sources

Mean square exponential stability of stochastic function differential equations in the G-framework

open access: yesOpen Mathematics, 2023
This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
doaj   +1 more source

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

open access: yesAdvances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi   +3 more
doaj   +1 more source

Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2003
AbstractPositive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results applies under finite-time convergence conditions on the numerical method.
Higham, D.J., Mao, X., Stuart, A.M.
openaire   +5 more sources

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