The first interval of stability of a periodic equation of Duffing type-Reference-Cited by-同舟云学术

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

Published:1992 Issue:4 Volume:115 Page:1061-1067
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ortega Rafael

Abstract

Consider the differential equation of a nonlinear oscillator with linear friction and a T T -periodic external force. We find optimal bounds on the derivative of the restoring force in order to obtain a unique T T -periodic solution that is asymptotically stable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-115-04/S0002-9939-1992-1092925-7/S0002-9939-1992-1092925-7.pdf

Reference11 articles.

1. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 16;Cesari, Lamberto,1971

2. Existence and uniqueness of solutions of boundary value problems for Lipschitz equations;Jackson, Lloyd K.;J. Differential Equations,1979

3. On the existence of stable periodic solutions of differential equations of Duffing type;Lazer, A. C.;Proc. Amer. Math. Soc.,1990

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