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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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An oscillation criterion for second order nonlinear differential equations
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by James S. W. Wong
Proc. Amer. Math. Soc. 98 (1986), 109-112
DOI: https://doi.org/10.1090/S0002-9939-1986-0848886-3

Abstract:

An oscillation crierion is given for the second order nonlinear differential equation $x'' + a(t)|x{|^\gamma }\operatorname {sgn} x{\text { = 0}}$, $\gamma > 0$, where the coefficient $a(t)$ is not assumed to be nonnegative for all large values of $t$. The result involves a condition obtained by Kamenev for the linear differential equation.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 109-112
  • MSC: Primary 34C10
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0848886-3
  • MathSciNet review: 848886