The set of probability distribution solutions of a linear functional equation

• Autorzy: Janusz Morawiec , Ludwig Reich
• Języki publikacji: EN

Abstrakty

EN

Let (Ω,𝓐,P) be a probability space and let τ: ℝ×Ω → ℝ be a function which is strictly increasing and continuous with respect to the first variable, measurable with respect to the second variable. Given the set of all continuous probability distribution solutions of the equation
$F(x) = ∫_{Ω} F(τ(x,ω))dP(ω)$
we determine the set of all its probability distribution solutions.

Kategorie tematyczne

• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 3
• Strony: 253-261

Daty

wydano

2008

Twórcy

autor

Janusz Morawiec

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

autor

Ludwig Reich

• Institut für Mathematik, Karl Franzens Universität, Heinrichstrasse 36, A-8010 Graz, Austria

Identyfikatory

DOI

10.4064/ap93-3-6