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

 

An oscillation criterion for second order nonlinear differential equations


Author: James S. W. Wong
Journal: Proc. Amer. Math. Soc. 98 (1986), 109-112
MSC: Primary 34C10
MathSciNet review: 848886
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Abstract: An oscillation crierion is given for the second order nonlinear differential equation $ x'' + a(t)\vert x{\vert^\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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0848886-3
PII: S 0002-9939(1986)0848886-3
Keywords: Oscillation, nonlinear, second order, differential equations
Article copyright: © Copyright 1986 American Mathematical Society