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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 $\varphi$ of equations of the form $$ \varphi(x)=\int_{\Omega}g(\omega)\varphi\big(f(x,\omega)\big)\mu(d\omega)+F(x), $$ where $\mu$ is a measure on a $\sigma$-algebra of subsets of a set $\Omega$.

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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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