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

A. Szukala

doi:10.4171/zaa/930

JournalszaaVol. 18, No. 4pp. 1101–1106

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

A. Szukala
Adam Mickiewicz University, Poznan, Poland

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

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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