Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624206 | Journal of Mathematical Analysis and Applications | 2006 | 21 Pages |
Abstract
In this paper we first investigate some basic properties concerning nondegenerate α-times integrated C-cosine functions on a Banach space X, and then characterize their generator A in terms of the unique existence of strong solutions of the following abstract Cauchy problem: for t>0, u(0)=x, u′(0)=y.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis