PageHeader : Funkcialaj Ekvacioj, 32 (1989) 1-22 Title : An Abstract Nonlinear Cauchy Problem Title : with a Vector Valued Time Variable AuthorInfo : By AuthorInfo : Minoru KOIKE AuthorInfo : (International Christian University, Japan) section : 0. Introduction section : 1. The Cauchy problem in Banach scales section : 2. Proof of Theorems 1.1 and 1.2 section : 3. A Banach scale for an ultradifferentiable class section : 4. The nonlinear Cauchy problem section : References