THE INTEGRATED CSEMIGROUP AND ABSTRACT CAUCHY PROBLEM
Guozheng Sun · Journal of Anhui Normal University · 1999
The concepts of nonexponentially bounded integrated Csemigroup and integrated Csemigroup for linear operator A are introduced. It is proved that, if C(A), there exists integrated Csemigroup for A if and only if the associated (ACP) has a unique solution for the initial value set Im(C).