Year: 2019
Author: Rebiha Benterki, Jaume Llibre
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177
Abstract
In this work we study the existence of new periodic solutions for the well known class of Duffing differential equation of the form $x^{\prime\prime}+ c x^{\prime}+ a(t) x +b(t) x^3 = h(t)$, where $c$ is a real parameter, $a(t)$, $b(t)$ and $h(t)$ are continuous $T$–periodic functions. Our results are proved using three different results on the averaging theory of first order.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.167
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Periodic solution averaging method Duffing differential equation bifurcation stability.