文档介绍：-
4
. z.
Differential Calculus
Newton and Leibniz,quite independently oystems in Banach space with unbounded operators. Up to now, there are a lot of works on this topic, see, for e*ample, [4, 7, 10, 21]. There are many systems that can be written as abstract neutral evolution equations with infinite delay to study [23]. In recent years, the theory of neutral functional differential equations with infinite delay in infinite
dimension was developed and it is still a field of research (see, for instance, [2, 9, 14, 15] and the references therein). Meanwhile, the controllability problem of such systems was also discussed by many mathematicians, see, for e*ample, [5, 8]. The objective of this article is to discuss the controllability for Eq. (1), where the linear part is supposed to be non-densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. We shall assume conditions that assure global e*istence and give the su
-
4
. z.
fficient conditions for controllability of some partial neutral functional differential equations with infinite delay. The results are obtained using the integrated semigroups theory and Banach fi*ed point theorem. Besides, we make use of the notion of integral solution and we do not use the analytic semigroups theory.
Treating equations with infi