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Existence and asymptotic behavior of positive solutions of higher‐order quasilinear ordinary differential equations
Author(s) -
Naito Manabu
Publication year - 2006
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.200510356
Subject(s) - mathematics , ordinary differential equation , class (philosophy) , order (exchange) , mathematical analysis , differential equation , finance , artificial intelligence , computer science , economics
The existence of non‐extreme positive solutions of n th‐order quasilinear ordinary differential equations is discussed. In particular, necessary and sufficient integral conditions for the existence of non‐extreme positive solutions are established for a certain class of equations. Basic results to a classical ordinary differential equation are generalized. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)