We apply the contraction mapping theorem to establish some bounded and unbounded perturbation theorems concerning nondegenerate local α-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 α-times integrated semigroups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-2,
author = {Chung-Cheng Kuo},
title = {Perturbation theorems for local integrated semigroups},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {13-26},
zbl = {1190.47050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-2}
}
Chung-Cheng Kuo. Perturbation theorems for local integrated semigroups. Studia Mathematica, Tome 196 (2010) pp. 13-26. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-2/