Perturbation theorems for local integrated semigroups
Volume 197 / 2010
Studia Mathematica 197 (2010), 13-26
MSC: 47D60, 47D62.
DOI: 10.4064/sm197-1-2
Abstract
We apply the contraction mapping theorem to establish some bounded and unbounded perturbation theorems concerning nondegenerate local $\alpha $-times integrated semigroups. Some unbounded perturbation results of Wang et al. [Studia Math. 170 (2005)] are also generalized. We also establish some growth properties of perturbations of local $\alpha $-times integrated semigroups.
