RFDE中QULES的比较定理  

Comparability Theorem of QULES for RFDE

作　　者：张月莲[1] 

机构地区：[1]常德师范学院数学系,常德415000

出　　处：《燕山大学学报》2002年第2期159-162,共4页Journal of Yanshan University

摘　　要：在文献中,针对滞后型泛函微分方程（RFDE）提出了拟一致 Lipschitz指数稳定性（QULES）概念。根据这一稳定性定义中的Lipschitz系数函数的不同,拟一致Lipschitz指数稳定包括已有的稳定、一致稳定、渐近稳定、指数渐近稳定概念,它可以认为是上述稳定性的统一形式,本文目的是建立RFDE中QULES的比较定理。In the definition of quasi-uniform Lipschitz expon-tially stability for retared functional differential equations was established. According to difference between Lipschitz coef-icient functions and Lipschitz exponentially functions of the definition, it included stability, uniform stability, asymptolical stability etc. Quasi-uniform Lipschitz exponentially stability was considered as unity form of these stability. In this paper, Comparability theorem of QULES for RFDE was established.

关 键 词：泛函微分方程 比较定理 Lipschitz指数稳定 RFDE QULES 

分 类 号：O177[理学—数学]