On the construction of solutions of linear differential equations according to given sequences
We consider the problem under what conditions the equation $f\prime \prime + Af = 0$ possesses an entire (meromorphic) solution with given sequences of zeros (poles) and critical points. The results are extended to equations of higher orders.
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| Datum: | 2017 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1793 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We consider the problem under what conditions the equation $f\prime \prime + Af = 0$ possesses an entire (meromorphic) solution
with given sequences of zeros (poles) and critical points. The results are extended to equations of higher orders. |
|---|