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Oscillation of Second Order Nonhomogeneous Linear Differential Equations

S. C. Tefteller
SIAM Journal on Applied Mathematics
Vol. 31, No. 3 (Nov., 1976), pp. 461-467
Stable URL: http://www.jstor.org/stable/2100493
Page Count: 7
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Oscillation of Second Order Nonhomogeneous Linear Differential Equations
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Abstract

This paper is a study of the oscillatory and asymptotic behavior of solutions of the second order, nonhomogeneous linear differential equation (r(x)y')' + q(x)y = f(x), and the associated homogeneous equation (r(x)u')' + q(x)u = 0. Conditions are determined, under which the nonhomogeneous equation is oscillatory if and only if the homogeneous equation is oscillatory. Separation theorems for these two equations are also established.

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