On α-Times Integrated C-Cosine Functions and the Abstract Cauchy Problem
| Autor: | ChihMin Hung, 洪志銘 |
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| Rok vydání: | 2002 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 91 This paper is concerned with -times integrated C-cosine functions for >0 and the associated abstract Cauchy problem: ACP(f, x, y), u"(t)=Au(t)+f(t) t>0; u(0)=x; u'(0)=y. We first investigate some basic properties of an α-times integrated C-cosine function which may not be exponentially bounded, and then characterize the generator A of a nondegenerate (α+1)-times integrated C-cosine function in terms of existence of the unique solution of ACP( x, 0, 0) for every x in C(X)/(λ-A). |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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