Bulletin of the Australian Mathematical Society

Research Article

On existence theorems for differential equations in Banach spaces

Józef Banaśa1

a1 Institute of Mathematics and Physics, Technical University, 35–084 Rzeszów, Poznańska 2, Poland.

Abstract

In this paper we show that a number of existence theorems for the Cauchy problem of ordinary differential equations in Banach spaces are only apparent generalizations of the previous ones.

(Received December 14 1984)