Strong convergence of averaging principle for the non‐autonomous slow‐fast systems of SPDEs with polynomial growth

Lp(p>2)-strong convergence of an averaging principle for two-time-scales jump-diffusion stochastic differential equations

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2015.05.001 ◽

2015 ◽

Vol 18 ◽

pp. 33-47 ◽

Cited By ~ 4

Author(s):

Jie Xu ◽

Yu Miao

Keyword(s):

Differential Equations ◽

Strong Convergence ◽

Stochastic Differential Equations ◽

Time Scales ◽

Jump Diffusion ◽

Averaging Principle

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A note on strong convergence rate in averaging principle for stochastic FitzHugh–Nagumo system with two time-scales

Stochastic Analysis and Applications ◽

10.1080/07362994.2015.1111765 ◽

2015 ◽

Vol 34 (1) ◽

pp. 178-181 ◽

Cited By ~ 2

Author(s):

Jie Xu ◽

Yu Miao ◽

Jicheng Liu

Keyword(s):

Convergence Rate ◽

Strong Convergence ◽

Time Scales ◽

Averaging Principle ◽

Strong Convergence Rate

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Strong Convergence in the Stochastic Averaging Principle

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1349 ◽

1994 ◽

Vol 187 (1) ◽

pp. 134-155 ◽

Cited By ~ 2

Author(s):

A.J. Heunis ◽

M.A. Kouritzin

Keyword(s):

Strong Convergence ◽

Stochastic Averaging ◽

Averaging Principle

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On Lp-strong convergence of an averaging principle for non-Lipschitz slow-fast systems with Lévy noise

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106973 ◽

2021 ◽

Vol 115 ◽

pp. 106973

Author(s):

Yong Xu ◽

Hongge Yue ◽

Jiang-Lun Wu

Keyword(s):

Strong Convergence ◽

Lévy Noise ◽

Averaging Principle ◽

Levy Noise

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Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.02.076 ◽

2011 ◽

Vol 384 (1) ◽

pp. 70-86 ◽

Cited By ~ 23

Author(s):

Hongbo Fu ◽

Jicheng Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Strong Convergence ◽

Time Scales ◽

Stochastic Partial Differential Equations ◽

Stochastic Averaging ◽

Averaging Principle ◽

Partial Differential

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L-strong convergence of the averaging principle for slow–fast SPDEs with jumps

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.07.058 ◽

2017 ◽

Vol 445 (1) ◽

pp. 342-373 ◽

Cited By ~ 7

Author(s):

Jie Xu

Keyword(s):

Strong Convergence ◽

Averaging Principle

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L p $L^{p}$ ( p ≥ 2 ) $(p\geq2)$ -strong convergence in averaging principle for multivalued stochastic differential equation with non-Lipschitz coefficients

Advances in Difference Equations ◽

10.1186/s13662-017-1442-5 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 2

Author(s):

Zhongkai Guo

Keyword(s):

Differential Equation ◽

Stochastic Differential Equation ◽

Strong Convergence ◽

Averaging Principle ◽

Multivalued Stochastic Differential Equation

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Strong convergence rate in averaging principle for stochastic FitzHugh–Nagumo system with two time-scales

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.02.062 ◽

2014 ◽

Vol 416 (2) ◽

pp. 609-628 ◽

Cited By ~ 17

Author(s):

Hongbo Fu ◽

Li Wan ◽

Youzhen Wang ◽

Jicheng Liu

Keyword(s):

Convergence Rate ◽

Strong Convergence ◽

Time Scales ◽

Averaging Principle ◽

Strong Convergence Rate

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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 ◽

10.1186/s13662-017-1333-9 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 1

Author(s):

Qing Guo ◽

Peirong Guo ◽

Fangyi Wan

Keyword(s):

Strong Convergence ◽

Time Scales ◽

Averaging Principle

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Strong Convergence Rate in Averaging Principle for the Heat Equation Driven by a General Stochastic Measure

Communications on Stochastic Analysis ◽

10.31390/cosa.13.2.01 ◽

2019 ◽

Vol 13 (2) ◽

Author(s):

Vadym Radchenko

Keyword(s):

Convergence Rate ◽

Heat Equation ◽

Strong Convergence ◽

Averaging Principle ◽

Stochastic Measure ◽

Strong Convergence Rate ◽

General Stochastic

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