朱丹晓, 陈宗煊. 一类高阶周期线性微分方程解的性质[J]. 华南师范大学学报（自然科学版）, 2010, (4).
引用本文: 朱丹晓, 陈宗煊. 一类高阶周期线性微分方程解的性质[J]. 华南师范大学学报（自然科学版）, 2010, (4).
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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
Citation: On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
shu

一类高阶周期线性微分方程解的性质

On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations

    摘要
  • 摘要: 研究了一类高阶周期系数线性微分方程在其系数A_1起控制作用时，方程\qquad \qquad \qquad \qquad f^(k)+A_k-2f^(k-2)+\cdots+A_1f^'+A_0f=0的解f(z)和f(z+2\pi i)的线性相关性.

     

    Abstract: The property of linearly dependence of solutions f(z) and f(z+2\pi \mathrmi) for higher-order linear differential equations f^(k)+A_k-2f^(k-2)+\cdots+A_1f^'+A_0f=0 with periodic entire coefficients is investigated, where A_1 for the equation is the dominant coefficient.

     

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