Evaluation of the growth of solutions of systems of linear differential equations of the $n$th order

• Date: 2025
• Main Authors: Mokhon’ko, A., Mokhon’ko, O., Мохонько, Анатолій, Мохонько, Олексій
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8406
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...