A. Raouf Chouikha
We consider the class of nonlinear oscillators of the form
where is a -periodic function, is a function only dependent on , and is a small parameter. We are interested in the periodic solutions with minimal period , when the restoring term is such that and is a trigonometric polynomial with period . By using method based on expanding the solution as a sine power series, we prove the existence of periodic solutions for this perturbed equation.
Published February 28, 2003.
Subject classifications: 34A20.
Key words: power series solution, trigonometric series.
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| A. Raouf Chouikha |
University of Paris-Nord, Laga,
CNRS UMR 7539 Villetaneuse F-93430, France
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