滞后型脉冲泛函微分方程有界性的Lyapunov逆定理  

Converse Lyapunov Theorems on Boundedness of Impulsive Retarded Functional Differential Equations

作　　者：李宝麟 周云菲 LI Baolin;ZHOU Yunfei(Department of Mathematics Teaching,Lanzhou Technology and Business College,Lanzhou 730101,China)

机构地区：[1]兰州工商学院数学教学部,兰州730101

出　　处：《数学年刊（A辑）》2024年第1期97-108,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.12161080)的资助。

摘　　要：本文通过建立滞后型脉冲泛函微分方程饱和解的存在唯一性定理,在广义常微分方程与滞后型脉冲泛函微分方程等价的基础上,研究了滞后型脉冲泛函微分方程关于一致有界性的Lyapunov逆定理.In this paper,The authors established the theorem of the existence and uniqueness of maximal solution of impulsive retarded functional differential equations,and on the basis of the equivalence relationship between the generalized ordinary differential equations and impulsive retarded functional differential equations,the converse Lyapunov theorems on uniform boundedness of impulsive retarded functional differential equations are established.

关 键 词：kurzweil积分 LYAPUNOV泛函 饱和解 一致有界 

分 类 号：O175.1[理学—数学]