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<p>For a system of linear differential equations of the <i>m</i>th order with coefficients holomorphic in a neighborhood of ∞<i>,</i> we obtain an <i>a priori</i> estimate for the growth of <i>n</i>-valued (<i>n</i> ∈ ℕ) analytic vector solutions of the system in terms of the estimate for the order of growth of its coefficients.</p>

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Estimation of the Growth of Solutions to Systems of Linear Differential Equations of the Nth Order

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Anatolii Mokhon’ko,
  • Oleksii Mokhon’ko

摘要

For a system of linear differential equations of the mth order with coefficients holomorphic in a neighborhood of ∞, we obtain an a priori estimate for the growth of n-valued (n ∈ ℕ) analytic vector solutions of the system in terms of the estimate for the order of growth of its coefficients.