DocumentCode
2097430
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
fYear
2011
fDate
17-18 Sept. 2011
Firstpage
61
Lastpage
65
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Internet Computing & Information Services (ICICIS), 2011 International Conference on
Conference_Location
Hong Kong
Print_ISBN
978-1-4577-1561-7
Type
conf
DOI
10.1109/ICICIS.2011.22
Filename
6063193
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