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Periodic solutions of Duffing equations with semi-quadratic potential and singularity
Authors:Zaihong Wang  Jing Xia  Dongyun Zheng
Institution:Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China
Abstract:In this paper, we deal with the existence of periodic solutions of the second order differential equations x+g(x)=p(t) with singularity. We prove that the given equation has at least one periodic solution when g(x) has singularity at origin, View the MathML source satisfies
View the MathML source
Keywords:Duffing equation  Periodic solution  Singularity
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