Convoluted C-cosine functions and convoluted C-semigroups


M. KostiŠ


Convoluted $C$-cosine functions and convoluted $C$-semigroups are introduced and investigated.Then their relations to the well-posedness of second order abstract Cauchy problem and the $\Theta $-convoluted $C$-regularized Cauchy problem are studied. Generation results for convoluted $C$-semigroups are given.