RFDE中一致Lipschitz稳定性的比较定理及应用  

Comparison Theorem and Application of Uniform Lipschitz Stability for RFDE

作　　者：张月莲[1] 申建华[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院数学系,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2002年第4期4-6,17,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10071018)

摘　　要：在文献[1]中,提出了滞后型泛函微分方程(RFDE)的拟一致Lipschitz指数稳定性概念,并讨论了利用Liapunov泛函方法建立这种稳定性的条件.我们建立RFDE的拟一致Lipschitz指数稳定性比较定理.并将该比较定理应用于讨论扰动RFDE的Lipschitz指数稳定性.In,the definition of quasiuniform Lipschitz expanentially stability for retared functional differential equations was established.The sufficient and necessary conditions of the stability are obtained by applying Liapunov functional.Comparability theorem of uniform Lipschitz stability for retared functional differential equations was established in this paper.We also discuss the uniform Lipschitz stability of perturbated retared functional differential equations.

关 键 词：RFDE 一致LIPSCHITZ稳定性 泛函微分方程 比较定理 Liapunou泛函方法 指数稳定性 

分 类 号：O175.7[理学—数学]