局部凸空間上的演化方程式

Abstract

Let S be a locally convex topological vector space. The method of product integration is used to obtain solutions to the time dependent evolution equation μ'(t)=A(t)μ(t),t≧0, where A is a function from [0,∞) to the set of nonlinear operators from S to itself, and μis a function from [0,∞) to S.