Výsledky vyhledávání - "iterative functional equations"

Elektronická kniha

Iterative Functional Equations

Autor: Marek Kuczma, Bogdan Choczewski, Roman Ger

A cohesive and exhaustive account of the modern theory of iterative functional equations.

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Inhomogeneous order 1 iterative functional equations with applications to combinatorics

Autor: Di Vizio, Lucia, Fernandes, Gwladys, Mishna, Marni

We show that if a Laurent series $f\in\mathbb{C}((t))$ satisfies a particular kind of linear iterative equation, then $f$ is either a rational function or it is differentially transcendental over $\mathbb{C}(t)$. This condition is more precisely stat

Externí odkaz: http://arxiv.org/abs/2309.07680

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Akademický článek

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Smooth solutions of a class of iterative functional equations

Autor: Shi, Weiwei, Tang, Xiao

Imposing some conditions on derivatives of the known functions, using the Fiber Contraction Theorem we prove the existence of $C^1$ solutions of a class of iterative functional equations which involves iterates of the unknown functions and a nonlinea

Externí odkaz: http://arxiv.org/abs/2210.06321

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An application of medial limits to iterative functional equations

Autor: Morawiec, Janusz

Assume that $(\Omega,\mathcal A,P)$ is a probability space, $f\colon[0,1] \times \Omega\to[0,1]$ is a function such that $f(0,\omega)=0$, $f(1,\omega)=1$ for every $\omega\in\Omega$, $g\colon[0,1]\to\mathbb R$ is a bounded function such that $g(0)=g(

Externí odkaz: http://arxiv.org/abs/1909.02245

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Akademický článek

Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations

Autor: Baron Karol

Publikováno v: Annales Mathematicae Silesianae, Vol 34, Iss 1, Pp 36-44 (2020)

The paper consists of two parts. At first, assuming that (Ω, A, P) is a probability space and (X, ϱ) is a complete and separable metric space with the σ-algebra 𝒝 of all its Borel subsets we consider the set 𝒭c of all 𝒝 ⊗ 𝒜-measurabl

Externí odkaz: https://doaj.org/article/9b06e66cf10d4f60a21bfcf8f1b4c749