Geodesic
A remark on power comparison theorem for half-linear differential equations
Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 187-195

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MR Zbl
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.
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.
DOI : 10.21136/MB.2008.134060
Classification : 34C10
Keywords: Riemann-Weber half-linear equation; Riccati technique; power comparison theorem; perturbation principle; principal solution 
Bognár, Gabriella; Došlý, Ondřej. A remark on power comparison theorem for half-linear differential equations. Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 187-195. doi: 10.21136/MB.2008.134060
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