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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 a forced second order linear differential equation


Author: M. A. El-Sayed
Journal: Proc. Amer. Math. Soc. 118 (1993), 813-817
MSC: Primary 34C10
MathSciNet review: 1154243
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Abstract: The paper is devoted to an oscillation theorem for the second-order forced linear differential equation of the form $ (p(t)x')' + q(t)x = g(t)$. The sign of the coefficient $ q$ is not definite, and the function $ g$ is not necessarily the second derivative of an oscillatory function. The question raised by J. Wong in Second order nonlinear forced oscillations (SIAM J. Math. Anal. 19 (1988), 667-675) is answered. A region of oscillation of Mathieu's equation is specified.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1154243-9
PII: S 0002-9939(1993)1154243-9
Keywords: Oscillation theory, Forced differential equations
Article copyright: © Copyright 1993 American Mathematical Society