Fifth Mississippi State Conference on Differential Equations and
Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2003, pp. 115122.
Solutions series for some nonharmonic motion equations
A. Raouf Chouikha
Abstract:
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 ParisNord, Laga,
CNRS UMR 7539 Villetaneuse F93430, France
email: chouikha@math.univparis13.fr

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