Results 31 to 40 of about 1,268,186 (296)
Averaging principle for the one-dimensional parabolic equation driven by stochastic measure
Modern Stochastics: Theory and Applications, 2022 A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure is considered. The averaging principle for the equation is established. The convergence rate is compared with other results on related topics.
Boris Manikin
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Uncertainty Principle of Signal-Averaged Electrocardiography [PDF]
Circulation, 2000 Background —Signal-averaged ECG (SAECG) reproducibility is reported to have a component that is independent of residual noise. Methods and Results —In group 1, multiple paired SAECGs were obtained to noise levels of 0.3±0.1 and 0.5±0.2 μV.
J J, Goldberger +6 more
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Stochastic averaging principle for multi-valued McKean–Vlasov stochastic differential equations [PDF]
, 2023 In this paper, we are concerned with stochastic averaging principle for multi-valued McKean-Vlasov stochastic differential equations. Under certain averaging conditions, we show that solutions of multi-valued McKean-Vlasov stochastic differential ...
Jiang-lun Wu, Jie Xiang, Guangjun Shen
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Strong Convergence in the Stochastic Averaging Principle
Journal of Mathematical Analysis and Applications, 1994 In this note we consider the almost sure convergence (as ϵ→0) of solution Xϵ(·), defined over the interval 0 ≤ τ ≤ 1, of the random ordinary differential equation View the MathML source Here {F(x, t, ω), t ≥ 0} is a strong mixing process for each x and (x, t) → F(x, t, ω) is subject to regularity conditions which ensure the existence of a unique ...
Heunis, A. J., Kouritzin, Michael
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, 2012 Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced with its average value. In this study we show that any outcome of a heterogeneous model that satisfies the two properties of \emph{differentiability} and \emph{interchangibility ...
Fibich, Gadi +2 more
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, 2012 Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced with its average value. In this study we show that any outcome of a heterogeneous model that satisfies the two properties of differentiability and interchangibility is O(ε^2 ...
Fibich, Gadi +2 more
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
Complexity, 2020 In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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Averaging principle for stochastic complex Ginzburg-Landau equations
, 2022 Averaging principle is an effective method for investigating dynamical systems with highly oscillating components. In this paper, we study three types of averaging principle for stochastic complex Ginzburg-Landau equations.
Cheng, Mengyu +5 more
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Strong convergence in the pth-mean of an averaging principle for two-time-scales SPDEs with jumps
Advances in Difference Equations, 2017 The main goal of this work is to study an averaging principle for two-time-scales stochastic partial differential equations with jumps. The solutions of reduced equations with modified coefficients are derived to approximate the slow component of the ...
Qing Guo, Peirong Guo, Fangyi Wan
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Fractal and Fractional, 2022 In contrast to previous research on periodic averaging principles for various types of impulsive stochastic differential equations (ISDEs), we establish an averaging principle without periodic assumptions of coefficients and impulses for impulsive ...
Jiankang Liu, Wei Wei, Wei Xu
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