# A Kneser-Type Theorem for the Equation $x^{(m)} = f(t,x)$ in Locally Convex Spaces

### A. Szukala

Adam Mickiewicz University, Poznan, Poland

## Abstract

We shall give sufficient conditions for the existence of solutions of the Cauchy problem for the equation $x^{(m)} = f(t,x)$. We also prove that the set of these solutions is a continuum.

## Cite this article

A. Szukala, A Kneser-Type Theorem for the Equation $x^{(m)} = f(t,x)$ in Locally Convex Spaces. Z. Anal. Anwend. 18 (1999), no. 4, pp. 1101–1106

DOI 10.4171/ZAA/930