On existence of oscillatory solutions for a second order sublinear differential equation

Wong, James S. W.

doi:10.1090/S0002-9939-1984-0759654-3

On existence of oscillatory solutions for a second order sublinear differential equation
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Proc. Amer. Math. Soc. 92 (1984), 367-371 Request permission

Abstract:

A result on the existence of oscillatory solutions for the second order sublinear differential equation $y'' + a(t){\left | y \right |^\gamma }\operatorname {sgn} y = 0$, $0 < \gamma < 1$, where $a(t)$ is positive and continuous, is given. This supplements a well-known result of Hinton for the superlinear case, i.e. $\gamma > 1$.

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Oscillatory solutions of certain nonlinear differential equations of second order

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