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On Measure-Valued Processes Generated by Differential Equations |
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| Authors: | Feshchenko O Yu |
| Institution: | (1) Ukrainian State Tax Administration, Kiev |
| Abstract: | We study the problem of representation of a homogeneous semigroup {
t
}
t  0 of transformations of probability measures on
in the form
where
![$$u_{\mu} :\mathbb{R}^d \times 0, T] \to \mathbb{R}^d$$](/content/t764376133885h42/11253_2004_Article_478855_TeX2GIFIE3.gif)
satisfies a differential equation of a special form dependent on the measure  . We give necessary and sufficient conditions for this representation. |
| Keywords: | |
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