Analysis of the archetypal functional equation in the non-critical case

DOI10.3934/PROC.2015.0132zbMath1335.45007arXiv1409.6126OpenAlexW2963636211WikidataQ59895969 ScholiaQ59895969MaRDI QIDQ260730

Leonid V. Bogachev, Gregory Derfel, Stanislav Alekseevich Molchanov

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6126

zbMATH Keywords

maximum principleharmonic functionMarkov chainmartingalearchetypal functional equationbounded continuous solutionspantograph equation

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Discrete-time Markov processes on general state spaces (60J05) Singular nonlinear integral equations (45G05) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items (4)

Gaussian iterative algorithm and integrated automorphism equation for random means ⋮ On a functional equation related to a problem of G. Derfel ⋮ The archetypal equation and its solutions attaining the global extremum ⋮ Probabilistic approach to a cell growth model

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