摘要
加权伪概周期随机过程作为概周期随机过程的推广形式,对其深入探索不仅具有重要的理论意义,而且极具实践价值.针对加权伪概周期随机过程的扰动部分加以推广,在两个不等价的权函数作用下,首先提出均方双加权伪概周期随机过程的定义.其次,利用随机分析技巧、可测集以及随机过程的相关知识对双加权伪概周期随机过程构成的空间,从不同角度研究其等价性,从而丰富了加权伪概周期随机过程的动力学性质.
The study in depth of weighted pseudo almost periodic stochastic processes,which is an extension of almost periodic stochastic processes,is significant both theoretically and practically.So far,the properties of weighted pseudo almost periodic stochastic processes are yet to be studied.Firstly,on the basis of the disturbance of the weighted pseudo almost periodic stochastic processes,the concept of square-mean double weighted pseudo almost periodic stochastic processes for the non-equivalent weight functions is proposed.Secondly,by applying random analysis techniques,and principles of measurable sets and random processes,the equivalence of the space developed in the double weighted pseudo almost periodic stochastic processes is studied from different perspectives.This study is an enrichment of the dynamics of weighted pseudo almost periodic stochastic processes.
作者
朱平
Zhu Ping(School of Mathematics,Luoyang Normal University,Luoyang 471934,China)
出处
《洛阳师范学院学报》
2020年第5期11-13,共3页
Journal of Luoyang Normal University
关键词
双加权伪概周期随机过程
权函数
等价性
double weighted pseudo almost periodic stochastic processes
weighted functions
equivalence
