On Lipschitzian solutions to an inhomogeneous linear iterative equation

被引：4

作者：

Baron, Karol ^{[1
]}

Kapica, Rafal ^{[1
]}

Morawiec, Janusz ^{[1
]}

机构：

[1] Uniwersytet Slaski, Inst Matemat, Bankowa 14, PL-40007 Katowice, Poland

来源：

AEQUATIONES MATHEMATICAE | 2016年 / 90卷 / 01期

关键词：

Iterative equations; Random-valued functions; Iterates; Convergence in law; Lipschitzian solutions; Continuous dependence of solutions;

D O I：

10.1007/s00010-015-0384-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on iteration of random-valued functions we study the problems of existence, uniqueness and continuous dependence of Lipschitzian solutions phi of the equation phi(x) = F(x) - integral(Omega) phi(f(x, omega)) P(d omega), where P is a probability measure on a sigma-algebra of subsets of Omega.

引用

页码：77 / 85

页数：9