J. Nonl. Mod. Anal., 1 (2019), pp. 167-177.
Published online: 2021-04
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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 = {http://global-sci.org/intro/article_detail/jnma/18855.html} }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.