On Local α -Times Integrated C -Semigroups

Yuan-Chuan Li and Sen-Yen Shaw

Abstract and Applied Analysis, 2007, vol. 2007, 1-18

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:034890

DOI: 10.1155/2007/34890

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