%0 Journal Article
%T Boundedness Types of Perturbations on the Growth of Semigroups
%A Zuheir Khidir Ahmed Abdelgader
%A Nariman Khider Ahmed Abdalgadir
%A Entisar Bakhit Bashir Elshikh
%A Abualez Alamin Ahmed Ali
%J Advances in Pure Mathematics
%P 1-10
%@ 2160-0384
%D 2023
%I Scientific Research Publishing
%R 10.4236/apm.2023.131001
%X We study types of boundedness of a semigroup on a Banach space in terms of the Ces¨¢ro-average and the behavior of the resolvent at the origin and also exhibit a characterization of type Hille-Yosida for the generators of <em><span style=\"white-space:nowrap;\">&amp;#981;</span><sup>j</sup></em>-bounded strongly continuous semigroups. Furthermore, these results are used to investigate the effect of the Perturbation on the type of the growth of sequences.
%K Ces&#225
%K ro Average
%K &lt
%K i&gt
%K C&lt
%K /i&gt
%K &lt
%K sub&gt
%K 0&lt
%K /sub&gt
%K -Semigroups
%K Boundedness
%K Perturbation Stability
%K Hille-Yosida
%K Growth of Sequences
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=122549