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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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On the existence of periodic solutions of the Duffing equation
by
Chunqing Lu
Southern Illinois University at Edwardsville

The paper studies the undamped Duffing equation with external oscillating force
u'' - u + u3 = \gammacos\omegat,
where u = u(t) is the unknown function, and \gamma and \omega are parameters. It proves that for given \gamma and \omega the system admits infinitely many periodic solutions.

Date received: March 17, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-10.