二阶非线性微分系统关于一类函数的φ型稳定性  

The φ-Type Stability of Second Order Non-Linear Differential Systems Related to a Class of Functions

作　　者：陆汉江[1] 冯伟贞[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2012年第2期21-24,共4页Journal of South China Normal University(Natural Science Edition)

摘　　要：定义φ型稳定性和φ型渐近性,借助V函数,得出一类二阶非线性微分系统和二阶非线性脉冲微分系统具有φ型稳定性和φ型渐近性的充分条件.By definingφ- type stability andφ- type asymptotic behavior, sufficient conditions forφ- type stabili-ty andφ- type asymptotic behavior of a second order nonlinear differential system are obtained in view of V func-tion. The stability of null solution for a class of second non - linear differential system with impulses is also shown.

关 键 词：二阶微分系统 脉冲系统 V函数 φ函数 φ型稳定性 φ型渐近性 

分 类 号：O175.14[理学—数学]