J. Nonl. Mod. Anal., 1 (2019), pp. 11-26.
Published online: 2021-04
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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 = {http://global-sci.org/intro/article_detail/jnma/18865.html} }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.