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Applied Mathematics Information

ISSN Print:2707-4722
ISSN Online:2707-4730
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单位圆上高阶线性微分方程解的空间属性

Spatial properties of solutions of higher order linear differential equations on unit circle

Applied Mathematics Information / 2020,2(2):50-53 / 2020-05-22 look2262 look3625
  • Authors: 林惠     
  • Information:
    北京林业大学,北京
  • Keywords: 高阶线性微分方程;数空间;属性
  • complex linear differential equation; function space
  • Abstract: 考虑单位圆上的高阶线性微分方程 f (k) +A k-1 (z)f (k-1) +…+A 1 (z)f'+A o (z)f=0,当系数 A j (z),j=0,1,…,k-1 满足一定条件时,此方程所有解 f ∈ Bers log p,q,m 空间。
  • The paper is devoted to the higher linear differential equation f (k) +A k-1 (z)f (k-1) +…+A 1 (z)f' + A 0 (z)f=0. When coefficient A j (z),j=0,1,…K-1 satisfies certain conditions, all solutions will belong to Bers log p,q,m space.
  • DOI: https://doi.org/10.35534/ami.0202008c
  • Cite: 林惠.单位圆上高阶线性微分方程解的空间属性[J].应用数学资讯,2020,2(2):50-53.
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