Divergence of series reducing an analytic differential equation to linear normal form at a singular point

DOI10.1007/BF01077497zbMath0477.34004WikidataQ115394327 ScholiaQ115394327MaRDI QIDQ1160794

Yulij S. Ilyashenko

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

conjugation problemsholomorphic vector fieldsconvergence of series solutionsNewton-Kolmogorov method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (3)

Singular codimension one foliations, Galois groupoid and first integrals ⋮ Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle ⋮ Open problems in local discrete holomorphic dynamics

Cites Work

• Wave equation scattering in even-dimensional spaces

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