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An existence and uniqueness result for periodic solution of \(2n\)-order differential equations. - MaRDI portal

An existence and uniqueness result for periodic solution of \(2n\)-order differential equations. (Q1406061)

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scientific article; zbMATH DE number 1977933
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An existence and uniqueness result for periodic solution of \(2n\)-order differential equations.
scientific article; zbMATH DE number 1977933

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    An existence and uniqueness result for periodic solution of \(2n\)-order differential equations. (English)
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    9 September 2003
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    The main result in this paper states the existence and uniqueness of a periodic solution to some \(2n\)th-order differential equation. Only even-order derivatives of the unknown function appear in the equation. The hypotheses of the theorem assure that a related displacement-type map is a homeomorphism.
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    periodic solutions
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    initial value problems
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    fixed-point
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