Reducing the polynomial-like iterative equations order and a generalized Zolt\'an Boros' problem
Classical Analysis and ODEs
2015-12-02 v2
Abstract
We present a technique for reducing the order of polynomial-like iterative equations; in particular, we answer a question asked by Wenmeng Zhang and Weinian Zhang. Our method involves the asymptotic behaviour of the sequence of consecutive iterates of the unknown function at a given point. As an application we solve a problem of Zolt\'an Boros posed during the 50th ISFE (2012).
Cite
@article{arxiv.1503.00570,
title = {Reducing the polynomial-like iterative equations order and a generalized Zolt\'an Boros' problem},
author = {Szymon Draga and Janusz Morawiec},
journal= {arXiv preprint arXiv:1503.00570},
year = {2015}
}