Dynamics and density evolution in piecewise deterministic growth processes

被引：18

作者：

Mackey, Michael C. ^{[2
,3
,4
]}

Tyran-Kaminska, Marta ^{[1
,5
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-40007 Katowice, Poland

[2] McGill Univ, Dept Physiol, Montreal, PQ H3G 1Y6, Canada

[3] McGill Univ, Dept Math & Phys, Montreal, PQ H3G 1Y6, Canada

[4] McGill Univ, Ctr Nonlinear Dynam, Montreal, PQ H3G 1Y6, Canada

[5] Univ Silesia, Inst Math, PL-40007 Katowice, Poland

来源：

ANNALES POLONICI MATHEMATICI | 2008年 / 94卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

first order partial differential equation; stochastic semigroup; asymptotic stability; invariant density;

D O I：

10.4064/ap94-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new sufficient condition is proved for the existence of stochastic semigroups generated by the sum of two unbounded operators. It is applied to one-dimensional piecewise deterministic Markov processes, where we also discuss the existence of a unique stationary density and give sufficient conditions for asymptotic stability.

引用

页码：111 / 129

页数：19

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