Advances in Difference Equations
Volume 2011 (2011), Article ID 394584, 9 pages
doi:10.1155/2011/394584
Research Article

Some Results on 𝑛 -Times Integrated 𝐶 -Regularized Semigroups

Fang Li, Huiwen Wang, and Zihai Qu

School of Mathematics, Yunnan Normal University, Kunming 650092, China

Received 21 October 2010; Accepted 13 December 2010

Academic Editor: Toka Diagana

Copyright © 2011 Fang Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a generation theorem of 𝑛 -times integrated 𝐶 -regularized semigroups and clarify the relation between differentiable ( 𝑛 + 1 ) -times integrated 𝐶 -regularized semigroups and singular 𝑛 -times integrated 𝐶 -regularized semigroups.