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Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential


Author: A. H. Nasr
Journal: Proc. Amer. Math. Soc. 126 (1998), 123-125
MSC (1991): Primary 34C15
DOI: https://doi.org/10.1090/S0002-9939-98-04354-8
MathSciNet review: 1451823
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Abstract | References | Similar Articles | Additional Information

Abstract: In the case of oscillatory potentials, we give sufficient conditions for the oscillation of the forced super-linear equation

\begin{displaymath}x''(t)+a(t)|x(t)|^{\nu }\operatorname{sgn} x(t)=g(t).\end{displaymath}

This answers a question raised by J. S. W. Wong.


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Additional Information

A. H. Nasr
Affiliation: Department of Mathematics, Ain Shans University College for Girls, Asma Fahmi St. Heliopolis, Cairo, Egypt

DOI: https://doi.org/10.1090/S0002-9939-98-04354-8
Keywords: Nonlinear second order differential equations, oscillation
Received by editor(s): March 19, 1996
Additional Notes: The author is deceased
Communicated by: Hal L. Smith
Article copyright: © Copyright 1998 American Mathematical Society