关于线性微分方程的解的性质
The Relation between Solutions of a Class of Higher Order Differential Equations with Periodic Coefficients and Functions of Small Growth

作者: 王青 :华南师范大学数学科学学院; 陈宗煊 :;

关键词: 微分方程整函数小函数收敛指数Differential Equation Entire Functions Function of Small Growth Exponent of Convergence

摘要: 在文中研究了微分方程 的解以及它们的一阶导数与小函数的关系。

Abstract: In this paper, we investigate the differential equations

Abstract: and. Moreover, we obtained the relation between solutions of the two differential equations and their 1th derivatives of differential equa-tion and small functions.

文章引用: 王青 , 陈宗煊 (2012) 关于线性微分方程的解的性质。 理论数学, 2, 88-96. doi: 10.12677/pm.2012.22015

参考文献

[1] 杨乐. 值分布论及其新研究[M]. 北京: 科学出版社, 1982.

[2] 陈宗煊. 二阶复域微分方程解的不动点与超级[J]. 数学物理学报, 2000, 20(3): 425-432.

[3] Z. X. Chen, S. Kwangho. Subnormal solutions of differential equations with periodic coefficients. Acta Mathematica Scientia, 2010, 30B(1): 75-88.

[4] 徐俊峰, 仪洪勋. 微分方程的解和小函数的关系[J]. 数学学报, 2010, 53(2): 85-90.

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