A representation theorem for the linear quasi-differential equation .

O'Hara, J.G.

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A remark on power comparison theorem for half-linear differential equations

Gabriella Bognár, Ondřej Došlý (2008)

Mathematica Bohemica

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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.