Ultradifferentiability of solutions of ordinary differential equations

DOI10.3792/pjaa.56.137zbMath0486.34004OpenAlexW2074847298MaRDI QIDQ1164762

Hikosaburo Komatsu

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.137

zbMATH Keywords

initial value problemultradifferentiable function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items

On ODEs in the ultradifferentiable class ⋮ Ultradifferentiable CR manifolds ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Quasianalytic solutions of differential equations at singular points ⋮ Gevrey global solvability of non-singular real first-order differential operators ⋮ Linear ordinary differential equations with Gevrey coefficients ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings ⋮ Smooth Gevrey normal forms of vector fields near a fixed point ⋮ The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type ⋮ An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\) ⋮ Gevrey and Analytic Convergence of Picard'S Successive Approximations ⋮ Global trace formula for ultra-differentiable Anosov flows ⋮ On the Siegel-Sternberg linearization theorem ⋮ Hamiltonian perturbation theory for ultra-differentiable functions ⋮ Invariant functions in Denjoy-Carleman classes ⋮ The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings ⋮ Perturbation theory for normal operators ⋮ Equivalence of stability properties for ultradifferentiable function classes

Cites Work

• Unnamed Item
• The implicit function theorem for ultradifferentiable mappings
• Équations et systèmes non-linéaires, hyperboliques non-stricts