On controllability of neutral functional differential equations with infinite delay

Abstract

In this paper, we give sufficient conditions for controllability of a class of partial neutral functional differential equations with infinite delay. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. The results are obtained using the integrated semigroups theory. We also announce and avoid a serious problem in the two published papers [9] and [8