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Oscillation criteria for nonlinear differential equations with integrable coefficient
Author(s) -
Hong HueiLin,
Yeh ChehChih,
Hong ChenHuang
Publication year - 2005
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.200310232
Subject(s) - mathematics , oscillation (cell signaling) , nonlinear system , integrable system , differential equation , mathematical analysis , physics , chemistry , quantum mechanics , biochemistry
In this paper, we consider the oscillation of the nonlinear differential equation$$ [a(t)\varphi(y\prime(t))] \prime + q(t)f(y(t)) = r(t)\, .$$We obtain a new sufficient condition for any nonoscillatory solution y ( t ) of the above equation satisfying lim inf t →∞ | y ( t )| = 0. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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