@Article{JNMA-1-1, author = {Rebiha, Benterki and Llibre, Jaume}, title = {Periodic Solutions of the Duffing Differential Equation Revisited via the Averaging Theory}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2019}, volume = {1}, number = {1}, pages = {11--26}, abstract = {

We use three different results of the averaging theory of first order for studying the existence of new periodic solutions in the two Duffing differential equations $\ddot y+ a \sin y= b \sin t$ and $\ddot y+a y-c y^3=b\sin t$, where $a$, $b$ and $c$ are real parameters.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.11}, url = {https://global-sci.com/article/88067/periodic-solutions-of-the-duffing-differential-equation-revisited-via-the-averaging-theory} }