典型文献
Poisson Stable Solutions for Stochastic Differential Equations with Lévy Noise
文献摘要：
In this paper,we use a unified framework to study Poisson stable(including stationary,periodic,quasi-periodic,almost periodic,almost automorphic,Birkhoff recurrent,almost recurrent in the sense of Bebutov,Levitan almost periodic,pseudo-periodic,pseudo-recurrent and Poisson stable)solutions for semilinear stochastic differential equations driven by infinite dimensional Lévy noise with large jumps.Under suitable conditions on drift,diffusion and jump coefficients,we prove that there exist solutions which inherit the Poisson stability of coefficients.Further we show that these solutions are globally asymptotically stable in square-mean sense.Finally,we illustrate our theoretical results by several examples.
文献关键词：
中图分类号：
作者姓名：
Xin LIU;Zhen Xin LIU
作者机构：
School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,P.R.China
文献出处：
引用格式：
[1]Xin LIU;Zhen Xin LIU-.Poisson Stable Solutions for Stochastic Differential Equations with Lévy Noise)[J].数学学报（英文版）,2022(01):22-54
A类：
automorphic,Bebutov
B类：
Poisson,Stable,Solutions,Stochastic,Differential,Equations,vy,Noise,In,this,paper,we,use,unified,framework,study,stable,including,stationary,periodic,quasi,almost,Birkhoff,recurrent,sense,Levitan,pseudo,solutions,semilinear,stochastic,differential,equations,driven,by,infinite,dimensional,noise,large,jumps,Under,suitable,conditions,drift,diffusion,coefficients,prove,that,there,exist,which,inherit,stability,Further,show,these,globally,asymptotically,square,mean,Finally,illustrate,our,theoretical,results,several,examples
AB值：
0.647929
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