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.