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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Asymptotic behavior of a class of nonlinear differential equations of $ n$th order


Author: Qingkai Kong
Journal: Proc. Amer. Math. Soc. 103 (1988), 831-838
MSC: Primary 34E05; Secondary 34A34
MathSciNet review: 947667
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Abstract: In this paper we obtain a result of the asymptotic behavior of the $ n$th order equation $ {u^{(n)}} + f(t,u,u', \ldots ,{u^{(n - 1)}}) = 0$ under some assumptions. For $ n = 2$ and $ f(t,u,u') \equiv f(t,u)$, it revises the result given by Jingcheng Tong, which is not true in general.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947667-1
PII: S 0002-9939(1988)0947667-1
Article copyright: © Copyright 1988 American Mathematical Society