TY - JOUR
T1 - Polynomially Bounded Cosine Functions
AU - Dingbang Cang, Xiaoqiu Song & Chen Cang
JO - Analysis in Theory and Applications
VL - 1
SP - 13
EP - 18
PY - 2012
DA - 2012/03
SN - 28
DO - http://doi.org/10.4208/ata.2012.v28.n1.2
UR - https://global-sci.org/intro/article_detail/ata/4536.html
KW - Cosine functions, resolvent, polynomially bounded.
AB - <p style="text-align: justify;">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.</p>