The Perturbation Theory of Exponentially Bounded Bi-continuous α-times Integrated C-semigroups

Abstract

Based on the perturbation of bi-continuous n-times integrated C-semigroups and α-times integrated C-semigroups,we conclude some perturbations of bi-continuous α-times integrated C-semigroups,and the perturbations of bi-continuous α-times integrated C-semigroups is also proved under the conditions of local Lipschitz continuous.