Evaluation of the growth of solutions of systems of linear differential equations of the $n$th order
UDC 517.925.7 For a system of linear differential equations of the $m$th order with coefficients holomorphic in a neighborhood of $\infty,$ we obtain an a priori estimate of growth for the $n$-valued ($n \in \mathbb{N}$) analytic vector solutions of the system via the estimate for the order of growt...
Gespeichert in:
| Datum: | 2025 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8406 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.925.7
For a system of linear differential equations of the $m$th order with coefficients holomorphic in a neighborhood of $\infty,$ we obtain an a priori estimate of growth for the $n$-valued ($n \in \mathbb{N}$) analytic vector solutions of the system via the estimate for the order of growth of its coefficients. |
|---|---|
| DOI: | 10.3842/umzh.v77i2.8406 |