EMIS ELibM Electronic Journals Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 4, pp. 1101-1106 (1999)

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

A. Szuka{\l}a

A. Mickiewicz Univ., Fac. Math. & Comp. Sci., J. Matejki 48/49, 60 - 769 Pozna\'n, 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.

Keywords: differential equations, set of solutions, measures of non-compactness

Classification (MSC2000): 34G20

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Electronic fulltext finalized on: 7 Aug 2001. This page was last modified: 9 Nov 2001.

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