Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential.(English)Zbl 0891.34038

Summary: In the case of oscillatory potentials, we give sufficient conditions for the oscillation of the forced super-linear equation $x''(t)+a(t)|x(t)|^{\nu}\text{ sgn } x(t)=g(t).$ This answers a question raised by J. S. W. Wong [SIAM J. Math. Anal. 19, No. 3, 667-675 (1988; Zbl 0655.34023)].

MSC:

 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations

Zbl 0655.34023
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References:

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