Note on an Iterative Functional Equation

We study the problem of solvability of the equation ϕ(x)=∫Ωg(w)ϕ(f(x,ω))P(dω)+F(x),\varphi \left( x \right) = \int_\Omega {g\left( w \right)} \varphi \left( {f\left( {x,\omega } \right)} \right)P\left( {d\omega } \right) + F\left( x \right), where P is a probability measure on a σ-algebra of subset...

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Bibliographic Details
Main Authors: Baron Karol, Morawiec Janusz
Format: Article
Language:English
Published: Sciendo 2024-03-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:https://doi.org/10.2478/amsil-2023-0031