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The approach to determining of periodic solutions of the nonlinear differential second order equation is proposed. The approach is based on construction of the Green’s function for differential operator defined on the functions, which satisfy boundary conditions. Necessary and sufficient conditions...

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Bibliographic Details
Date:2012
Main Author: Bokhonov, Ju.
Format: Article
Language:Ukrainian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2012
Online Access:http://journal.iasa.kpi.ua/article/view/71980
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:The approach to determining of periodic solutions of the nonlinear differential second order equation is proposed. The approach is based on construction of the Green’s function for differential operator defined on the functions, which satisfy boundary conditions. Necessary and sufficient conditions for the existence of periodic solutions of the equation are shown.