Polynomially Bounded Cosine Functions

Polynomially Bounded Cosine Functions

Year:    2012

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 13–18

Abstract

We characterize polynomial growth of cosine functions in terms of the resolvent of its generator and give a necessary and sufficient condition for a cosine function with an infinitesimal generator which is polynomially bounded.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2012.v28.n1.2

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 13–18

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Cosine functions resolvent polynomially bounded.