On differentiable solutions of some systems of functional equations of p-th order

Z. Krzeszowiak-Dybiec

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Displaying similar documents to “On differentiable solutions of some systems of functional equations of p-th order”

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Z. Krzeszowiak-Dybiec (1980)

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On differentiable solutions of Böttcher's functional equation

L. Anczyk (1969)

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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.

Differentiable solutions for a class of functional equations

V. Murugan, P. V. Subrahmanyam (2007)

Annales Polonici Mathematici

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We give a set of sufficient conditions for the existence of differentiable solutions for a functional equation involving a series of iterates, using a method different from that of Baker and Zhang [Ann. Polon. Math. 73 (2000)].