Probability distribution solutions of a general linear equation of infinite order, II

• Autorzy: Tomasz Kochanek , Janusz Morawiec
• Języki publikacji: EN

Abstrakty

EN

Let (Ω,𝓐,P) be a probability space and let τ: ℝ × Ω → ℝ be a mapping strictly increasing and continuous with respect to the first variable, and 𝓐-measurable with respect to the second variable. We discuss the problem of existence of probability distribution solutions of the general linear equation
$F(x) = ∫_Ω F(τ(x,ω)) P(dω)$.
We extend our uniqueness-type theorems obtained in Ann. Polon. Math. 95 (2009), 103-114.

Kategorie tematyczne

• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions
• 60E05: Distributions: general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 3
• Strony: 215-224

Daty

wydano

2010

Twórcy

autor

Tomasz Kochanek

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

autor

Janusz Morawiec

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

Identyfikatory

DOI

10.4064/ap99-3-1