The topological structure of solution spaces of ordinary differential equations

DOI10.1070/RM1993v048n01ABEH000986zbMath0808.34002MaRDI QIDQ4298463

V. V. Filippov

Publication date: 14 August 1994

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

periodic solutionssingular pointssurvey papertopological methodsPoincaré-Bendixson theorempartial mapscontinuity of solutions with respect to initial data and parameters

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Nonlinear ordinary differential equations and systems (34A34)

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