Periodic solutions of Duffing equations with semi-quadratic potential and singularity |
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Authors: | Zaihong Wang Jing Xia Dongyun Zheng |
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Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China |
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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, satisfies |
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Keywords: | Duffing equation Periodic solution Singularity |
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