Title :
Some Conclusions about alpha-times Integrated C Semigroups
Author :
Liu, Chunjing ; Song, Xiaoqiu ; Wang, Tao
Author_Institution :
Mathematic Dept. of Coll. of Sci., China Univ. of Min. & Technol., Xuzhou, China
Abstract :
This paper gets two main conclusions about α-times integrated C semi groups based on the Hille exponential formulas of the other kinds of semi groups, the generation theorem in terms of the Laplace transform and the properties of exponential bounded α-times integrated C semi groups. One is the representation theorem, the other is the Laplace inverse transform as well as two deductions.
Keywords :
Laplace transforms; group theory; inverse transforms; Hille exponential formula; Laplace inverse transform; exponential α-time integrated C semigroup; generation theorem; representation theorem; Control theory; Educational institutions; Equations; Generators; Mathematical model; Transforms; Exponential formulas; Intelligent Control; Laplace inverse transform; Representation theorem; a-times integrated C semigroups;
Conference_Titel :
Internet Computing & Information Services (ICICIS), 2011 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4577-1561-7
DOI :
10.1109/ICICIS.2011.22
