Open Access
Translator Disclaimer
2007 On Local α -Times Integrated C -Semigroups
Yuan-Chuan Li, Sen-Yen Shaw
Abstr. Appl. Anal. 2007: 1-18 (2007). DOI: 10.1155/2007/34890

Abstract

This paper presents several characterizations of a local α -times integrated C -semigroup { T ( t ) ; 0 t < τ } by means of functional equation, subgenerator, and well-posedness of an associated abstract Cauchy problem. We also discuss properties concerning the nondegeneracy of T ( ) , the injectivity of C , the closability of subgenerators, the commutativity of T ( ) , and extension of solutions of the associated abstract Cauchy problem.

Citation

Download Citation

Yuan-Chuan Li. Sen-Yen Shaw. "On Local α -Times Integrated C -Semigroups." Abstr. Appl. Anal. 2007 1 - 18, 2007. https://doi.org/10.1155/2007/34890

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1153.47035
MathSciNet: MR2336261
Digital Object Identifier: 10.1155/2007/34890

Rights: Copyright © 2007 Hindawi

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.2007 • 2007
Back to Top