On generalized-periodic solutions of nonautonomous differential inclusions

On generalized-periodic solutions of nonautonomous differential inclusions

We introduce the notion of a generalized-periodic solution of a classical nonautonomous differential inclusion with periodic right-hand side. We show that the existence of a bounded solution implies the existence of a generalized-periodic solution, and vice versa.

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Veröffentlicht in:Differential equations 2009, Vol.45 (1), p.1-5
Hauptverfasser: Afanas’ev, A. P., Dzyuba, S. M., Repina, Yu. E.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Dynamical systems
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
Theorems
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Beschreibung
Zusammenfassung:We introduce the notion of a generalized-periodic solution of a classical nonautonomous differential inclusion with periodic right-hand side. We show that the existence of a bounded solution implies the existence of a generalized-periodic solution, and vice versa.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109010017