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

Ortega, Rafael

doi:10.1090/S0002-9939-1992-1092925-7

The first interval of stability of a periodic equation of Duffing type
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by Rafael Ortega PDF

Proc. Amer. Math. Soc. 115 (1992), 1061-1067 Request permission

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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