Quasianalytic solutions of differential equations at singular points

DOI10.4064/ap230614-5-9OpenAlexW4389559060MaRDI QIDQ6184963

Abdelhafed El Khadiri

Publication date: 29 January 2024

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap230614-5-9

zbMATH Keywords

Borel mappingordinary linear differential equationsquasianalytic ringsDenjoy-Carleman quasianalytic classes

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Differentiable maps on manifolds (58C25) Rings and algebras of continuous, differentiable or analytic functions (46E25) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• The implicit function theorem for ultradifferentiable mappings
• Ultradifferentiability of solutions of ordinary differential equations
• Weierstrass Division in Quasianalytic Local Rings
• On the surjectivity of the Borel mapping for some quasi-analytic rings

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