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Article

On a generalized Dhombres functional equation

We consider the functional equation \( f(xf(x))=\varphi (f(x)) \) where \( \varphi: J\rightarrow J \) is a given increasing homeomorphism of ...

P. Kahlig, J. Smítal in aequationes mathematicae (2001)

Article

On a parametric functional equation of Dhombres type

In this paper we consider the functional equation f (x f (x)) = k f (x)², where \( f : R^+ \rightarrow R^+ \) and k ...

P. Kahlig, J. Smítal in aequationes mathematicae (1998)

Article

Book reviews

P. Kahlig, Ignaz Vergeiner, Martin Ehrendorfer… in Meteorology and Atmospheric Physics (1998)

Article

On a class of composite functional equations in a single variable

We prove a general result on continuous functions of the typef: (0, ∞) → (0, ∞) which satisfy the functional equationf(x[f(x)]^p) = (f(x))^{p + 1}, wherep is an arbitrary fixed real number. Applying this result we de...

P. Kahlig, A. Matkowska, J. Matkowski in aequationes mathematicae (1996)

Article

On the solutions of a functional equation of dhombres

Continuous solutions of the functional equation ƒ(xƒ(x)) = (ƒ(x))² for x ∈ [0,∞) have been characterized by Dhombres. They form a simple, two-parametric family and the result can be easily extended to solutions o...

P. Kahlig, J. Smítal in Results in Mathematics (1995)

Article

Book Review

P. Kahlig in Meteorology and Atmospheric Physics (1994)

Article

On deterministic criteria for heavy rainfall at a point

After a brief discussion of deterministic versus statistical criteria for heavy rainfall at a point, a general deterministic criterion is derived by dimensional analysis. From this general criterion, several w...

P. Kahlig in Theoretical and Applied Climatology (1993)

Article