The dependence of the maximal interval of existence of solutions to a differential equation on the initial data

The dependence of the maximal interval of existence of solutions to a differential equation on the initial data

It is proved that the right endpoint of the maximal interval of existence of solutions to the differential equation , n > 1 is an integer, is a continuously differentiable function of the initial data.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2014-10, Vol.47 (4), p.141-144
Hauptverfasser: Bibikov, Yu. N., Pliss, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:It is proved that the right endpoint of the maximal interval of existence of solutions to the differential equation , n > 1 is an integer, is a continuously differentiable function of the initial data.
ISSN:1063-4541
1934-7855
DOI:10.3103/S1063454114040025