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On Lp-strong convergence of an averaging principle for non-Lipschitz slow-fast systems with Lévy noise
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-12-30 , DOI: 10.1016/j.aml.2020.106973 Yong Xu , Hongge Yue , Jiang-Lun Wu
中文翻译:
上 非Lipschitz慢速系统具有Lévy噪声的平均原理的强收敛
更新日期:2020-12-30
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-12-30 , DOI: 10.1016/j.aml.2020.106973 Yong Xu , Hongge Yue , Jiang-Lun Wu
We study -strong convergence for coupled stochastic differential equations (SDEs) driven by Lévy noise with non-Lipschitz coefficients. Utilizing Khasminkii’s time discretization technique, the Kunita’s first inequality and Bihari’s inequality, we show that the slow solution processes converge strongly in to the solution of the corresponding averaged equation.
中文翻译:
上 非Lipschitz慢速系统具有Lévy噪声的平均原理的强收敛
我们学习 非Lipschitz系数的Lévy噪声驱动的耦合随机微分方程(SDE)的强收敛性。利用Khasminkii的时间离散技术,Kunita的第一个不等式和Bihari的不等式,我们证明了慢解过程在 对应的平均方程的解。