Two iterative functional equations for power series.

Detlef Gronau

Displaying similar documents to “Two iterative functional equations for power series.”

Two iterative functional equations for power series. (Short Communication).

Detlef Gronau (1982)

Aequationes mathematicae

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Iterative characterizations of powers and exponentials.

S.L. Segal (1989)

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On the n-th order iterative ordinary linear differential equations.

Frantisek Neuman (1993)

Aequationes mathematicae

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On the n-th order iterative ordinary linear differential equations. (Summary).

Frantisek Neumann (1992)

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On a linear functional equation with a mean-type mapping having no fixed points

Katarzyna Sajbura (2005)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.