q-Nagumo norms and formal solutions to singularly perturbed q-difference equations

被引：0

作者：

Carrillo, Sergio A. ^{[1
]}

Lastra, Alberto ^{[2
]}

机构：

[1] Univ Nacl Colombia, Escuela Matemat, Cra 65 59A-110, Medellin, Colombia

[2] Univ Alcala, Dept Fis & Matemat, Madrid, Spain

来源：

MATHEMATISCHE ANNALEN | 2025年 / 391卷 / 03期

关键词：

Primary; 39A13; Secondary; 34K26; 39A45; 34M25; LAPLACE; SUMMABILITY; TRANSFORMS;

D O I：

10.1007/s00208-024-03007-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 norms adapted to q-differences we find new types of optimal divergence associated with these problems. We also provide some examples to illustrate our results.

引用

页码：3399 / 3428

页数：30

共 30 条

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