Задача Коші для диференціальних рівнянь вищих порядків у банаховому просторі

Abstract

The solutions to an abstract m-harmonic equation on (0,∞) are described. The necessary and sufficient conditions on initial data, under which the Cauchy problem for such an equation is solvable in the class of finite-order and finite-type entire vector-valued functions for a dense set of initial data, are presented.