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Multiplicity of periodic solutions for third-order nonlinear differential equations - MaRDI portal

Multiplicity of periodic solutions for third-order nonlinear differential equations (Q1666463)

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scientific article; zbMATH DE number 6927122
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Multiplicity of periodic solutions for third-order nonlinear differential equations
scientific article; zbMATH DE number 6927122

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    Multiplicity of periodic solutions for third-order nonlinear differential equations (English)
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    27 August 2018
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    Summary: We study the existence of periodic solutions for third-order nonlinear differential equations. The method of proof relies on Schauder's fixed point theorem applied in a novel way, where the original equation is transformed into second-order integrodifferential equation through a linear integral operator. Finally, examples are presented to illustrate applications of the main results.
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