Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/67727
標題: On local alpha-times integrated C-semigroups
作者: Li, Y.C.
Shaw, S.Y.
關鍵字: abstract cauchy-problem
regularized semigroups
laplace transforms
perturbation
theorem
期刊/報告no:: Abstract and Applied Analysis.
摘要: This paper presents several characterizations of a local alpha- times integrated C- semigroup {T( t); 0 <= t < tau} by means of functional equation, subgenerator, and well- posedness of an associated abstract Cauchy problem. We also discuss properties concerning the nondegeneracy of T( center dot), the injectivity of C, the closability of subgenerators, the commutativity of T( center dot), and extension of solutions of the associated abstract Cauchy problem. Copyright (c) 2007 Y.- C. Li and S.- Y. Shaw.
URI: http://hdl.handle.net/11455/67727
ISSN: 1085-3375
文章連結: http://dx.doi.org/10.1155/2007/34890
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