Asymptotic unboundedness of the norms of delayed matrix sine and cosine
Zdenek Svoboda · Electronic journal of qualitative theory of differential equations · 2017
In the paper, the asymptotic properties of recently defined special matrix functions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved. To derive this result, a formula is used connecting them with what is called delayed matrix exponential with asymptotic properties determined by the main branch of the Lambert function.