Pseudo almost automorphic solution to stochastic differential equation driven by Lévy process

doi:10.1007/s11464-018-0715-y

Frontiers of Mathematics in China

2018, Vol. 13

Issue (4): 779-796 https://doi.org/10.1007/s11464-018-0715-y

本期目录

Pseudo almost automorphic solution to stochastic differential equation driven by Lévy process

Xinwei FENG¹(

), Gaofeng ZONG²

¹. School of Mathematics, Shandong University, Jinan 250100, China
². School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, China

全文: PDF(279 KB)

Abstract：

Almost automorphic is a particular case of the recurrent motion, which has been studied in differential equations for a long time. We introduce square-mean pseudo almost automorphic and some of its properties, and then study the pseudo almost automorphic solution in the distribution sense to stochastic differential equation driven by Lévy process.

Key words： Pseudo almost automorphic square-mean almost automorphic almost automorphic in distribution stochastic dierential equation mild solution Lévy process

收稿日期: 2016-01-11 出版日期: 2018-08-14

Corresponding Author(s): Xinwei FENG

引用本文:

. [J]. Frontiers of Mathematics in China, 2018, 13(4): 779-796.
Xinwei FENG, Gaofeng ZONG. Pseudo almost automorphic solution to stochastic differential equation driven by Lévy process. Front. Math. China, 2018, 13(4): 779-796.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-018-0715-y
https://academic.hep.com.cn/fmc/CN/Y2018/V13/I4/779

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