Smooth solutions of a class of iterative functional equations
Classical Analysis and ODEs
2022-10-13 v1
Abstract
Imposing some conditions on derivatives of the known functions, using the Fiber Contraction Theorem we prove the existence of solutions of a class of iterative functional equations which involves iterates of the unknown functions and a nonlinear term.
Cite
@article{arxiv.2210.06321,
title = {Smooth solutions of a class of iterative functional equations},
author = {Weiwei Shi and Xiao Tang},
journal= {arXiv preprint arXiv:2210.06321},
year = {2022}
}