Integrated cosine functions

In order to the second order Cauchy problem (CP2):x″(t)=Ax(t), x(0)=x∈D(An), x″(0)=y∈D(Am) on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function. This paper is concerned with its basic theory, which contain some properties, perturbation and approximation theorem...

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Bibliographic Details
Main Author: Quan Zheng
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000798
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