测度中立型泛函微分方程的稳定性  

Stability of Measure Neutral Functional Differential Equations

作　　者：李宝麟 席娅 LI Bao-lin;XI Ya(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《西南大学学报（自然科学版）》2021年第2期79-89,共11页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761063).

摘　　要：借助广义常微分方程与测度中立型泛函微分方程的等价关系,运用Lyapunov泛函方法以及广义常微分方程的变差稳定性和变差渐近稳定性定理,建立了测度中立型泛函微分方程的一致稳定性和一致渐近稳定性定理.然后通过重新定义Lyapunov泛函,建立了测度中立型泛函微分方程新的一致稳定性和一致渐近稳定性定理.With the help of the equivalent relation of generalized ordinary differential equations and measure neutral functional differential equations,and using the Lyapunov functional method and the theorems of variational stability and variationally asymptotically stability of generalized ordinary differential equations,the theorems of uniform stability and uniformly asymptotically stability of measure neutral functional differential equations are established.Then,by redefining the Lyapunov functional,the new theorems of uniform stability and uniformly asymptotically stability of measure neutral functional differential equations are established.

关 键 词：测度中立型泛函微分方程 广义常微分方程 一致稳定性 一致渐近稳定性 LYAPUNOV泛函 

分 类 号：O175.12[理学—数学]