q-Nagumo norms and formal solutions to singularly perturbed q-difference equations
| Autor: | Carrillo, Sergio A., Lastra, Alberto |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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