摘要
本文首先给出广义泛函微分方程解的稳定性的概念，同时建立了有关稳定与不稳 定的二个判据，然后作为例子，讨论二阶线性常系数广义微分差分方程，得到了这类系统 有关稳定与不稳定的若干结果，并发现了一些关于稳定性的分支或类似于分支的现象。
Firstly, definitions of Stability are stated for singular functional differential equa tions, and two theorems on stability and instability are proved. Then as an example, second constant coefficient linear singular differential difference equations are considered, some re sults of stability and instability are obtained, and some bifurcation phenomenon of stability are discovered.
出处
《应用数学学报》
CSCD
北大核心
1999年第1期130-138,共9页
Acta Mathematicae Applicatae Sinica
基金
广东省自然科学基金
关键词
广义
泛函微分方程
相容性条件
稳定性
解
Singular functional differential equations, delay, consistency conditions, stability, bifurcation
