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arXiv · 1607.05119

Lipschitzian solutions to inhomogeneous linear iterative equations

Karol Baron·Janusz Morawiec
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Abstract

We study the problems of the existence, uniqueness and continuous dependence of Lipschitzian solutions $φ$ of equations of the form $$ φ(x)=\int_Ωg(ω)φ\big(f(x,ω)\big)μ(dω)+F(x), $$ where $μ$ is a measure on a $σ$-algebra of subsets of a set $Ω$.

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Karol Baron, Janusz Morawiec. 2016-07-01. Lipschitzian solutions to inhomogeneous linear iterative equations. https://arxiv.org/abs/1607.05119

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