退化时滞非线性系统解的稳定性  

Stability of Solutions of Degenerate Nonlinear Systems with Delay

作　　者：王婷[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011

出　　处：《安庆师范学院学报（自然科学版）》2006年第2期9-11,共3页Journal of Anqing Teachers College(Natural Science Edition)

摘　　要：本文首先给出了关于退化时滞系统解的稳定性概念,然后针对形如的退化时滞非线性系统,给出了判定该系统关于a(t,x(t))的稳定性定理;进一步给出了判定该系统的零解x(t)在区间[0,+∞)上的稳定性定理.In the paper, the concept and definition of stability of the degenerate systems with delay are given. Then, just for the system： , a theory that can be used to judge the stability of the system above is also offered. Furthermore, the theory of stability about the zero solutions is discussed in the paper.

关 键 词：退化时滞 非线性系统 V泛函 稳定性 

分 类 号：O175.15[理学—数学]