A note on the Poincaré-Birkhoff fixed point theorem and periodic solutions of planar systems. (English) Zbl 0906.34029

Rebelo, Carlota

Nonlinear Anal., Theory Methods Appl. 29, No. 3, 291-311 (1997).

Die Bestimmung periodischer Lösungen einer allgemeinen Differentialgleichung ist ein mit den Namen Poincaré-Birkhoff verbundenes Problem. Der Autor diskutiert unterschiedliche Resultate für die Existenz derartiger Lösungen und modifiziert einige bekannte Existenzkriterien.

Reviewer: H.-J.Bangen (Immenstaad)

MSC:

34C25

Periodic solutions to ordinary differential equations

Keywords:

Poincaré-Birkhoff fixed point theorem; periodic solutions; planar systems

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