摘要
This note deals with the functional differential equations with infinite delay x’=f（t, x,）, （1）where x∈R<sup>n</sup>, f: [0,∞) ×C<sub>9</sub>→R<sup>n</sup>, C<sub>g</sub> is the phase space of （1）, which is defined as follows:C=∮(（-∞, 0], R<sup>n</sup>） is the set of all the continuous vector-functions mapping (-∞, 0] toR<sup>n</sup>. The function g:（-∞, 0]→ [1, ∞） is continuous and nonincreasing with g （0）=1 andg（-∞）=∞.
基金
Project partially supported by the National Natural Science Foundation of China.
