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高阶亚纯系数非齐次线性微分方程解的零点
  • 期刊名称：数学学报中文版
  • 时间：2017.8.15
  • 页码：727-736
  • 分类：O175.29[理学—数学;理学—基础数学] O174.52[理学—数学;理学—基础数学]
  • 作者机构：华南师范大学数学科学学院
  • 相关基金：国家自然科学基金资助项目(11171119)
  • 相关项目：复域差分, 差分方程和微分方程的研究
作者： 邱家亮, 陈宗煊|
关键词： 微分方程, 零点收敛指数, 增长级
中文摘要：

讨论一类高阶亚纯系数非齐次线性微分方程解的零点问题,当方程的系数A0是亚纯函数且满足δ(∞,A0)=δ(】0)和lim(r→∞)log T(r,Ao)/log r=∞时,如果f1和f2是方程f((k))+A(κ—1)f((k—1))+…+Aof=F的两个线性无关解,得到max{λ(f1),λ(f2)}=∞.还考虑了σ(F)=∞或Ad(1【d【κ—1)满足lim(r→∞)log m(r,Ad)/log r=∞的情况.

同期刊论文项目
复域差分, 差分方程和微分方程的研究
期刊论文 126 著作 1
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