n维半线性不确定动力系统的周期问题  

Periodic Problems of Semi-linear Uncertain Dynamical Systems of n Dimension

作　　者：刘倩[1] 闫俊娜[1] 

机构地区：[1]安阳师范学院人文管理学院数学与信息工程系,河南安阳455000

出　　处：《新乡学院学报》2013年第1期5-8,共4页Journal of Xinxiang University

摘　　要：以模糊数新参数表示法和模糊数值函数新的微分理论为基础,利用Sobolev空间基本理论,采用集值分析和泛函分析的基本方法,讨论了n维半线性不确定动力系统的周期问题,并证明了在一定条件下半线性不确定动力系统周期问题的解是存在的,解决了在H-导数意义下模糊微分方程的无周期解问题.Based on the new parametric representation of fuzzy numbers and new differential theory of fuzzy numerical function, combined with the theory of Sobolev spaces and the methods of sets-valued and functional analysis, the periodic problems of n dimensional semi-linear uncertain dynamical are studied in this paper. The conclusion shows the existence of periodic problems of semi-linear uncertain dynamical systems is exist under certain conditions. No periodic solutions to H- differentialbility fuzzy differential equations are solved.

关 键 词：模糊数 H-导数 模糊微分方程 不确定动力系统 

分 类 号：O159[理学—数学]