Existence of solutions entering at a singular point of an autonomous system having a formal solution

DOI10.1007/BF01078945zbMath0717.34004OpenAlexW2091480644MaRDI QIDQ754025

A. N. Kuznetsov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01078945

zbMATH Keywords

singular pointfirst order differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Cites Work

• Sur les points singuliers des équations différentielles
• Differentiable solutions to degenerate systems of ordinary equations
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