Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient
The method of Green’s functional is a little-known technique for the construction of fundamental solutions to linear ordinary differential equations (ODE) with nonlocal conditions. We apply this technique to a higher order linear ODE involving general nonlocal conditions. A novel kind of adjoint pro...
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| Datum: | 2019 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1422 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | The method of Green’s functional is a little-known technique for the construction of fundamental solutions to linear ordinary
differential equations (ODE) with nonlocal conditions. We apply this technique to a higher order linear ODE involving
general nonlocal conditions. A novel kind of adjoint problem and Green’s functional are constructed for the completely
inhomogeneous problem. Several illustrative applications of the theoretical results are provided. |
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