Non-existence of periodic solutions to non-autonomous second-order differential equation with discontinuous nonlinearity

We consider a second-order differential equation with discontinuous nonlinearity and sinusoidal external influence, and obtain conditions for the non-existence of periodic solutions.

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Bibliographische Detailangaben
Veröffentlicht in:	Electronic journal of differential equations 2016-01, Vol.2016 (4), p.1-8
Hauptverfasser:	Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva
Format:	Artikel
Sprache:	eng
Schlagworte:	discontinuous nonlinearity Non-autonomous differential equation non-existence of solutions periodic solution
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Beschreibung
Zusammenfassung:	We consider a second-order differential equation with discontinuous nonlinearity and sinusoidal external influence, and obtain conditions for the non-existence of periodic solutions.
ISSN:	1072-6691