Publication detail
A generalized Picard-Lindelöf theorem
SIEGMUND, S. DIBLÍK, J. NOWAK, C.
Original Title
A generalized Picard-Lindelöf theorem
English Title
A generalized Picard-Lindelöf theorem
Type
journal article in Web of Science
Language
en
Original Abstract
The Picard–Lindelöf theorem on the unique solvability of initial value problems is generalized by replacing the sufficient classical Lipschitz condition with a more general Lipschitz condition along hyperspaces. A comparison with known results is provided and the generality of the new criterion is shown by an example.
English abstract
The Picard–Lindelöf theorem on the unique solvability of initial value problems is generalized by replacing the sufficient classical Lipschitz condition with a more general Lipschitz condition along hyperspaces. A comparison with known results is provided and the generality of the new criterion is shown by an example.
Keywords
Picard–Lindelöf theorem, initial value problem, generalized Lipschitz condition, unique solvability.
Released
20.05.2016
Publisher
Bolyai Institute, University of Szeged, Hungary
Location
Szeged
ISBN
1417-3875
Periodical
Electronic Journal of Qualitative Theory of Differential Equations
Year of study
2016
Number
28
State
HU
Pages from
1
Pages to
8
Pages count
8
URL
Documents
BibTex
@article{BUT130794,
author="Stefan {Siegmund} and Christine {Nowak} and Josef {Diblík}",
title="A generalized Picard-Lindelöf theorem",
annote="The Picard–Lindelöf theorem on the unique solvability of initial value problems is generalized by replacing the sufficient classical Lipschitz condition with a more general Lipschitz condition along hyperspaces. A comparison with known results is provided and the generality of the new criterion is shown by an example.",
address="Bolyai Institute, University of Szeged, Hungary",
chapter="130794",
doi="10.14232/ejqtde.2016.1.28",
howpublished="online",
institution="Bolyai Institute, University of Szeged, Hungary",
number="28",
volume="2016",
year="2016",
month="may",
pages="1--8",
publisher="Bolyai Institute, University of Szeged, Hungary",
type="journal article in Web of Science"
}