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The existence of \(n\) periodic solutions on one element \(n\)-degree polynomial differential equation - MaRDI portal

The existence of \(n\) periodic solutions on one element \(n\)-degree polynomial differential equation (Q2246552)

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The existence of \(n\) periodic solutions on one element \(n\)-degree polynomial differential equation
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    The existence of \(n\) periodic solutions on one element \(n\)-degree polynomial differential equation (English)
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    16 November 2021
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    This paper deals with the multiplicity of periodic solutions of $n$-degree polynomial differential equations. It is proved that a special $n$-degree polynomial differential equation has $n$ periodic solutions by using fixed point theorem. This result generalizes some related conclusions of some papers.
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    \(n\)-degree polynomial differential equations
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    periodic solutions
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    fixed point theorem
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