Results 21 to 30 of about 6,822,651 (272)
Mean Square Exponential Stability of a Class of Stochastic Rcellular Neural Networks
Journal of Harbin University of Science and Technology, 2020 In this paper, the problem of the mean square exponential stability of a class of impulsive stochastic reactiondiffusion cellular neural networks (CNNs) with transmission delay and distributed delay, and parameter uncertainties is discussed.
LIU Xin, CHEN Lili, HUANG Shuai
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Advances 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
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Mean square exponential stability of stochastic delay cellular neural networks
Electronic Journal of Qualitative Theory of Differential Equations, 2013 By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the exponential stability of stochastic cellular neural networks with discrete delays. The condition contains
Yingxin Guo
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Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
, 2013 A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
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Numerical solutions of neutral stochastic functional differential equations [PDF]
, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke +2 more
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Abstract and Applied Analysis, 2012 The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
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Journal of Inequalities and Applications, 2020 In this paper, we investigate the exponential mean-square stability for both the solution of n-dimensional stochastic delay integro-differential equations (SDIDEs) with Poisson jump, as well for the split-step θ-Milstein (SSTM) scheme implemented of the ...
Davood Ahmadian, Omid Farkhondeh Rouz
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Mean square exponential stability of numerical methods for stochastic differential delay equations
CoRR, 2023 Mean square exponential stability of $θ$-EM and modified truncated Euler-Maruyama (MTEM) methods for stochastic differential delay equations (SDDEs) are investigated in this paper. We present new criterion of mean square exponential stability of the $θ$-EM and MTEM methods for SDDEs, which are different from most existing results under Khasminskii-type
Guangqiang Lan, Qi Liu
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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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Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability
, 2019 In this paper, the existence conditions of nonuniform mean-square exponential dichotomy (NMS-ED) for a linear stochastic differential equation (SDE) are established. The difference of the conditions for the existence of a nonuniform dichotomy between an SDE and an ordinary differential equation (ODE) is that the first one needs an additional assumption,
Zhu, Hailong, Chen, Li, He, Xiuli
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