Distribution semigroups on K1

Abstract

Distribution semigroup in the sense of Wang and Kunstmana and the properties of infinitesimal generator are considered with in exponentially bounded distributions. Results are applied on a class of equations of the form (?/?t)4-An = ?, ? ? ?+1 (L(e)), where D(A) c L?(R) or D(A) c E = Cb(R).