POISSON S2-ALMOST AUTOMORPHY FOR STOCHASTIC PROCESSES AND ITS APPLICATIONS TO SPDES DRIVEN BY LEVY NOISE

被引：2

作者：

Li, Xueqin ^{[1
]}

Tang, Chao ^{[2
]}

Huang, Tianmin ^{[3
]}

机构：

[1] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Sichuan, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China

[3] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 08期

关键词：

Poisson S-2-almost automorphy; local asymptotic stability; stochastic evolution equations; Levy process; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ALMOST-PERIODIC SOLUTIONS; EVOLUTION-EQUATIONS; STEPANOV-LIKE; WEIGHTED PSEUDO; EXISTENCE; DELAY;

D O I：

10.3934/dcdsb.2018282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study the concepts and properties of Poisson Stepanov-like almost automorphy (or Poisson S-2-almost automorphy) for stochastic processes. With appropriate conditions, we apply the results obtained to investigate the asymptotic behavior of the soulutions to SPDEs driven by Levy noise under S-2-almost automorphic coefficients without global Lipschitz conditions. Moreover, the local asymptotic stability of the solutions under local Lipschitz condition is discussed and the attractive domain is also given. Finally, an illustrative example is provided to justify the practical usefulness of the established theoretical results.

引用

页码：3309 / 3345

页数：37

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