抄録
Liapunov's direct method is used to give conditions ensuring the uniform asymptotic stability in a system of infinite delay differential equations. By introducing the concept of a seminorm having a fading memory with respect to the norm on the space of initial functions, we obtain a Liapunov functional with an upper bound larger than those traditionally given. This new approach enables us to unify several well-known theorems in the literature. Examples are provided to illustrate the application of these results.
