An equation in nonlinear combination of iterates

Autor:	Gopalakrishna, Chaitanya, Zhang, Weinian
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs Mathematics - Rings and Algebras 39B12 47J05 06F20
Druh dokumentu:	Working Paper
Popis:	In this paper we deal with an equation in nonlinear combination of iterates. Although it can be reduced by the logarithm conjugacy to a form for application of Schauder's or Banach's fixed point theorems, a difficulty called Zero Problem is encountered for continuous solutions because the domain does not contain $0$. So we consider solutions with weaker regularity, using the Knaster-Tarski fixed point theorem for complete lattices to give order-preserving solutions. Then we give semi-continuous solutions and integrable solutions. Comment: 22 pages. arXiv admin note: text overlap with arXiv:2105.03379
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.06420 Zobrazit plný text záznamu View this record from Arxiv