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On the existence of bounded noncontinuable solutions
Author(s) -
Bartušek Miroslav
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710050
Subject(s) - mathematics , bounded function , order (exchange) , interval (graph theory) , differential equation , point (geometry) , mathematical analysis , pure mathematics , combinatorics , geometry , business , finance
This paper presents necessary and sufficient conditions for an n ‐th order differential equation to have a non‐continuable solution with finite limits of its derivatives up to the order l at the right‐hand end point of the interval of its definition, l ≤ n – 2 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)