@Article{ATA-28-13, author = {}, title = {Polynomially Bounded Cosine Functions}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2012.v28.n1.2}, url = {http://global-sci.org/intro/article_detail/ata/4536.html} }