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Про один підхід до знаходження періодичних розв’язків нелінійного звичайного дифференціального рівняння другого порядку
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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Main Author: | |
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Format: | Article |
Language: | Ukrainian |
Published: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2012
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Online Access: | http://journal.iasa.kpi.ua/article/view/71980 |
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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. |
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