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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Asymptotic behavior of a class of nonlinear differential equations of $n$th order
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by Qingkai Kong
Proc. Amer. Math. Soc. 103 (1988), 831-838
DOI: https://doi.org/10.1090/S0002-9939-1988-0947667-1

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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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 831-838
  • MSC: Primary 34E05; Secondary 34A34
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947667-1
  • MathSciNet review: 947667