q-Nagumo norms and formal solutions to singularly perturbed q-difference equations
General Mathematics
2023-07-31 v1
Abstract
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a new family of Nagumo norms adapted for q-differences we find new types of optimal divergence associated with these problems. We also provide some examples to illustrate our results.
Keywords
Cite
@article{arxiv.2307.15096,
title = {q-Nagumo norms and formal solutions to singularly perturbed q-difference equations},
author = {Sergio A. Carrillo and Alberto Lastra},
journal= {arXiv preprint arXiv:2307.15096},
year = {2023}
}