Region and number of periodic solutions of Duffing's equation

Name: Region and number of periodic solutions of Duffing's equation
Creator: Sawano, Yasunori
Keywords: 0209 industrial biotechnology, second order differential equation, Numerical results, 34C25, 58F22, 02 engineering and technology, 0101 mathematics, Periodic solutions to ordinary differential equations, 34D20, 01 natural sciences

Sawano, Yasunori

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Kodai Mathematical Journal

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Other literature type . 1987

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Kodai Mathematical Journal

Article . 1987 . Peer-reviewed

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https://dx.doi.org/10.2996/kmj...

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Region and number of periodic solutions of Duffing's equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1987Publisher:Tokyo Institute of Technology, Department of MathematicsJournal:Kodai Mathematical Journal, volume 10 (issn: 0386-5991,

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Authors: Sawano, Yasunori;

doi: 10.2996/kmj/1138037361

Region and number of periodic solutions of Duffing's equation

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Abstract

Some sufficient conditions are given for the existence and uniqueness of the second order differential equation $x''+f(x)x'+g(x)=e(t).$ The region where the periodic solution locates is described. Numerical results are presented to illustrate the theoretical statement.

Related Organizations

Institute of Science Tokyo
Japan

Keywords

second order differential equation, Numerical results, 34C25, 58F22, Periodic solutions to ordinary differential equations, 34D20, 58F14

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