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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The first interval of stability of a periodic equation of Duffing type


Author: Rafael Ortega
Journal: Proc. Amer. Math. Soc. 115 (1992), 1061-1067
MSC: Primary 34C25; Secondary 34D20
DOI: https://doi.org/10.1090/S0002-9939-1992-1092925-7
MathSciNet review: 1092925
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Abstract: Consider the differential equation of a nonlinear oscillator with linear friction and a $ T$-periodic external force. We find optimal bounds on the derivative of the restoring force in order to obtain a unique $ T$-periodic solution that is asymptotically stable.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1092925-7
Article copyright: © Copyright 1992 American Mathematical Society