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...
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 |
Similar Items
-
Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations
by: Baron Karol
Published: (2020-07-01) -
Continuous solutions of iterative equations of infinite order
by: Rafał Kapica, et al.
Published: (2009-01-01) -
On principal iteration semigroups in the case of multiplier zero
by: Krassowska Dorota, et al.
Published: (2013-01-01) -
On Baire measurable solutions of some functional equations
by: Baron Karol
Published: (2009-12-01) -
Iteration groups, commuting functions and simultaneous systems of linear functional equations
by: Janusz Matkowski
Published: (2008-01-01)