On the Uniqueness of Solutions of the Functional Equation ... .
Solutions of Bounded Variation of a Linear Functional Equation.
On principal iteration semigroups in the case of multiplier zero
We collect and generalize various known definitions of principal iteration semigroups in the case of multiplier zero and establish connections among them. The common characteristic property of each definition is conjugating of an iteration semigroup to different normal forms. The conjugating functions are expressed by suitable formulas and satisfy either Böttcher’s or Schröder’s functional equation.
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case. (Short Communication).
Solutions of bounded variation of a linear homogeneous functional equation in the indeterminate case.
On the iteration of the hat-functions.
Note on commutable functions.
The structure of iteration groups of continuous functions. (Summary).
The structure of iteration groups of continuous functions.
Regular fractional iterations.
On the regular solutions of a linear functional equation
On the orbits of hat-functions
On quasi-continuous iteration semigroups and groups of real functions
Continuous solutions of finite variation of a linear functional equation
On diffeomorphic solutions of simultaneous Abel's equations
Solutions of Bounder Variation of a Linear Homogeneous Functional Equation
A general class of iterative equations on the unit circle
A class of functional equations with nonlinear iterates is discussed on the unit circle . By lifting maps on and maps on the torus to Euclidean spaces and extending their restrictions to a compact interval or cube, we prove existence, uniqueness and stability for their continuous solutions.
On uniqueness of conjugacy of continuous and piecewise monotone functions.
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