Perturbation theorems for local integrated semigroups

Volume 197 / 2010

Chung-Cheng Kuo Studia Mathematica 197 (2010), 13-26 MSC: 47D60, 47D62. DOI: 10.4064/sm197-1-2


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.


  • Chung-Cheng KuoDepartment of Mathematics
    Fu Jen University
    Taipei, Taiwan 24205

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