Results 11 to 20 of about 273,778 (204)
Stability of numerical method for semi-linear stochastic pantograph differential equations [PDF]
Journal of Inequalities and Applications, 2016 As a particular expression of stochastic delay differential equations, stochastic pantograph differential equations have been widely used in nonlinear dynamics, quantum mechanics, and electrodynamics.
Yu Zhang, Longsuo Li
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Practical exponential stability in mean square of stochastic partial differential equations [PDF]
Collectanea Mathematica, 2014 The main aim of this paper is to establish some criteria for the mean square and almost sure practical exponential stability of a nonlinear monotone stochastic partial differential equations.
Caraballo Garrido, Tomás +2 more
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Mathematics, 2020 In this paper, we study the mean-square exponential input-to-state stability (exp-ISS) problem for a new class of neural network (NN) models, i.e., continuous-time stochastic memristive quaternion-valued neural networks (SMQVNNs) with time delays ...
Usa Humphries +6 more
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Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
Advances in Difference Equations, 2018 We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that
Fosheng Wang, Chengqiang Wang
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Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays [PDF]
Discrete Dynamics in Nature and Society, 2010 This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations.
Chuangxia Huang, Lehua Huang, Yigang He
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Explicit criteria for mean square exponential stability of stochastic differential equations
Applied Mathematics Letters, 2019 Using a novel approach, we present new explicit criteria for the mean square exponential stability of general non-linear stochastic differential equations. An application to stochastic neural networks is given.
P. H. Ngoc
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Mathematics, 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
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Exponential mean-square stability properties of stochastic linear multistep methods [PDF]
Advances 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 ...
Buckwar E., D'Ambrosio R.
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Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses
Mathematics, 2023 This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are
Chunxiang Li +4 more
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Mean square exponential stability of stochastic function differential equations in the G-framework
Open 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
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