@Article{JNMA-1-2, author = {Rebiha, Benterki and Llibre, Jaume}, title = {Periodic Solutions of a Class of Duffing Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2019}, volume = {1}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.167}, url = {https://global-sci.com/article/88057/periodic-solutions-of-a-class-of-duffing-differential-equations} }