摘要
本文采用一种新方法来研究 RFDE 稳定性问题,其特点是不必构造 Liapunov 泛函,用起来比较简单,应用得到的稳定性定理,本文还研究了许多领域中有重要意义的Volterra 积分微分方程的周期解的唯一性和稳定性问题.
In the investigation on stability of functional differential equations Liapunov's directmethod is an important and fundamental tool,but,frequently,it is difficult to construct asuitable Liapunov functional for concrete equations.In this paper,a new method is used tostudy the stability for retarded functional differential equations.It does not require using theLiapunov functional,so it is quite convenient to use.By means of the stability theorems obtained,the uniqueness and stability of periodic solu-tion of Volterra integro-differential equations are dealt with.
出处
《系统科学与数学》
CSCD
北大核心
1992年第3期273-276,共4页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
