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"
}