Probability distribution solutions of a general linear equation of infinite order, II
Tomasz Kochanek ; Janusz Morawiec
Annales Polonici Mathematici, Tome 98 (2010), p. 215-224 / Harvested from The Polish Digital Mathematics Library
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Let (Ω,,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 -measurable with respect to the second variable. We discuss the problem of existence of probability distribution solutions of the general linear equation F(x)=∫ΩF(τ(x,ω))P(dω). We extend our uniqueness-type theorems obtained in Ann. Polon. Math. 95 (2009), 103-114.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281050 
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Tomasz Kochanek; Janusz Morawiec. Probability distribution solutions of a general linear equation of infinite order, II. Annales Polonici Mathematici, Tome 98 (2010) pp. 215-224. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-3-1/