关于Hale《泛函微分方程理论》第四章的一些结果

本文推广了文1]第四章订正后的新引理3.5,重新确立了原引理3.4的正确性,从而由另一条途径证得了推论3.3,定理4.2以及定理4.4的结论。

SOME RESULTS ABOUT THEORY OF FUNCTIONAL DIFFERENTIAL EQU ATIONS CHAPTER4

In the famous works"Theory of Functional Differential Equations"Cha- pter 4, because the proof of an important theorem (Theorem 3.1)is failse, so some compositions which rely on Theorem 3.1 (Such as corollary 3.1, corollary 3.3, Theorem 4.2, Theorem 4.4 ) are not hold yet. This paper genelized the new Lemma 3.5, then proved the obvious corollary3.3(which has been omited by the errata) in a nother way. Thus the Theorem 4.2 and Theorem4.4 were reestablished in this paper.