Publication result 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

WoS Article

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.

Key words in English

Picard–Lindelöf theorem, initial value problem, generalized Lipschitz condition, unique solvability.

Authors

SIEGMUND, S.; DIBLÍK, J.; NOWAK, C.

RIV year

2017

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

Volume

2016

Number

28

State

Hungary

Pages from

1

Pages to

8

Pages count

8

URL

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4576

BibTex

@article{BUT130794,
  author="Stefan {Siegmund} and Christine {Nowak} and Josef {Diblík}",
  title="A generalized Picard-Lindelöf theorem",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2016",
  volume="2016",
  number="28",
  pages="1--8",
  doi="10.14232/ejqtde.2016.1.28",
  issn="1417-3875",
  url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4576"
}