Optimal version of the Picard-Lindelöf theorem

Schlage-Puchta Jan-Christoph: Optimal version of the Picard-Lindelöf theorem. (2021)

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Abstract

Consider the differential equation y 0 = F(x, y). We determine the weakest possible upper bound on |F(x, y) − F(x, z)| which guarantees that this equation has for all initial values a unique solution, which exists globally.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 39
ISSN: 1417-3875
Number of Pages: 8
Language: English
DOI: 10.14232/ejqtde.2021.1.39
Uncontrolled Keywords: Differenciálegyenletek - közönséges, Picard-Lindelöf tétel
Additional Information: Bibliogr.: 8. p. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 08. 14:35
Last Modified: 2021. Nov. 08. 14:35
URI: http://acta.bibl.u-szeged.hu/id/eprint/73691

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