Existence and asymptotic behavior of positive solutions of higher‐order quasilinear ordinary differential equations | Zendy

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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)

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