THE STABILITY THEOREMS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
一类泛函微分方程的稳定性定理及其应用

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.