Detail publikace

A generalized Picard-Lindelöf theorem

SIEGMUND, S. DIBLÍK, J. NOWAK, C.

Originální název

A generalized Picard-Lindelöf theorem

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

SIEGMUND, S.; DIBLÍK, J.; NOWAK, C.

Vydáno

20. 5. 2016

Nakladatel

Bolyai Institute, University of Szeged, Hungary

Místo

Szeged

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Ročník

2016

Číslo

28

Stát

Maďarsko

Strany od

1

Strany do

8

Strany počet

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"
}