On uniqueness of conjugacy of continuous and piecewise monotone functions.
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 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.
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