An oscillation criterion for a forced second order linear differential equation

El-Sayed, M. A.

doi:10.1090/S0002-9939-1993-1154243-9

An oscillation criterion for a forced second order linear differential equation
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by M. A. El-Sayed PDF

Proc. Amer. Math. Soc. 118 (1993), 813-817 Request permission

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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