Averaging in boundary-value problems for systems of differential and integrodifferential equations
UDC 517.9 The averaging method is applied to the investigation of the problem of existence of solutions of boundary-value problems for systems of differential and integrodifferential equations.  It is shown that if the averaged boundary-value problem has a solution, then th...
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| Datum: | 2020 |
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| Hauptverfasser: | , , , , , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1071 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.9
The averaging method is applied to the investigation of the problem of existence of solutions of boundary-value problems for systems of differential and integrodifferential equations.  It is shown that if the averaged boundary-value problem has a solution, then the original problem also has a solution.  It is worth noting that, in this case, the system obtained as a result of averaging of a system of integrodifferential equations has the form of a simpler  system of ordinary differential equations. |
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