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MATHEMATICA BOHEMICA, Vol. 133, No. 2, pp. 187-195 (2008)
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A remark on power comparison theorem for half-linear differential equations

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Gabriella Bognar, Ondrej Dosly

* Gabriella Bognar*, Department of Mathematics, University of Miskolc, H-3514 Miskolc-Egytemvaros, Hungary, e-mail: ` matvbg@gold.uni-miskolc.hu`; * Ondrej Dosly*, Department of Mathematics and Statistics, Masaryk University, Janackovo nam. 2a, CZ-602 00 Brno, Czech Republic, e-mail: ` dosly@math.muni.cz`

**Abstract:** We consider the half-linear second order differential equation which is 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 the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. * 111* (2006), 165-179.

**Keywords:** Riemann-Weber half-linear equation, Riccati technique, power comparison theorem, perturbation principle, principal solution

**Classification (MSC2000):** 34C10

**Full text of the article:**

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