On Measure-Valued Processes Generated by Differential Equations
Abstract
We study the problem of representation of a homogeneous semigroup {Θ t } t ≥ 0 of transformations of probability measures on Rd in the form Θt(μ)=μ∘u−1μ(⋅,t), where uμ:Rd×[0,T]→Rd satisfies a differential equation of a special form dependent on the measure μ. We give necessary and sufficient conditions for this representation.Downloads
Published
25.04.2003
Issue
Section
Research articles
How to Cite
Feshchenko, O. Yu. “On Measure-Valued Processes Generated by Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 4, Apr. 2003, pp. 525-32, https://umj.imath.kiev.ua/index.php/umj/article/view/3925.