无限时滞线性中立型泛函微分方程周期解

摘要

In this paper,we chose space Cg as phase space.It had been proved that for linear neutral functional differential equations of D-operator type with infinite delay,there was a periodic solution if and only if there was a bounded solution.Our results were different from the ones given in Acta Mathematica Sinica,4(2000)695-702.%本文以Cg空间为相空间,证明了具无限时滞D算子型线性中立型泛函微分方程存在周期解当且仅当存在有界解,得到了与以往结论互不包含的结果.