新乡学院学报(自然科学版)
新鄉學院學報(自然科學版)
신향학원학보(자연과학판)
Journal of Xinxiang University(Natural Science Edition)
2013年
1期
5-8
,共4页
模糊数%H-导数%模糊微分方程%不确定动力系统
模糊數%H-導數%模糊微分方程%不確定動力繫統
모호수%H-도수%모호미분방정%불학정동력계통
fuzzy numbers%H- differentiability%fuzzy differential equation%uncertain dynamical systems
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.
以模糊數新參數錶示法和模糊數值函數新的微分理論為基礎,利用Sobolev空間基本理論,採用集值分析和汎函分析的基本方法,討論瞭n維半線性不確定動力繫統的週期問題,併證明瞭在一定條件下半線性不確定動力繫統週期問題的解是存在的,解決瞭在-H 導數意義下模糊微分方程的無週期解問題.
이모호수신삼수표시법화모호수치함수신적미분이론위기출,이용Sobolev공간기본이론,채용집치분석화범함분석적기본방법,토론료n유반선성불학정동력계통적주기문제,병증명료재일정조건하반선성불학정동력계통주기문제적해시존재적,해결료재-H 도수의의하모호미분방정적무주기해문제.
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.
