Displaying similar documents to “A comparison of three recent selection theorems”

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.

Involutions and semiinvolutions

Hiroyuki Ishibashi (2006)

Czechoslovak Mathematical Journal

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We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.