English

Lipschitzian solutions to inhomogeneous linear iterative equations

Classical Analysis and ODEs 2016-07-19 v1

Abstract

We study the problems of the existence, uniqueness and continuous dependence of Lipschitzian solutions φ\varphi of equations of the form φ(x)=Ωg(ω)φ(f(x,ω))μ(dω)+F(x), \varphi(x)=\int_{\Omega}g(\omega)\varphi\big(f(x,\omega)\big)\mu(d\omega)+F(x), where μ\mu is a measure on a σ\sigma-algebra of subsets of a set Ω\Omega.

Keywords

Cite

@article{arxiv.1607.05119,
  title  = {Lipschitzian solutions to inhomogeneous linear iterative equations},
  author = {Karol Baron and Janusz Morawiec},
  journal= {arXiv preprint arXiv:1607.05119},
  year   = {2016}
}
R2 v1 2026-06-22T14:57:18.885Z