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A remark on power comparison theorem for half-linear differential equations. (English) Zbl 1199.34168
Summary: We consider a half-linear second order differential equation which can be viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by recent results published by J. Sugie and N. Yamaoka [Acta Math. Hung. 111, No. 1–2, 165–179 (2006; Zbl 1116.34030)].
MSC:
34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory