高阶线性微分方程亚纯解同小函数的关系
The Relations between Solutions of High Order Complex Domain Differential Equation and Small Functions
摘要:
本文研究了高阶线性微分方程亚纯解的不动点及亚纯解同小函数的关系问题，得到了微分方程亚纯解的一些性质。
Abstract:
In this paper, we investigate the problems on fixed points and hyper-order of solutions of high order differential equations with meromorphic coefficients, and we obtain the precise properties of high solutions of linear differential equations.
参考文献
|
[1]
|
Hayman, W. (1964) Meromorphic Functions. Clarendon Press, Oxford.
|
|
[2]
|
杨乐. 值分布论及其新研究[M]. 北京: 科学出版社, 1982.
|
|
[3]
|
何育赞, 肖修治. 代数体函数和常微分方程[M]. 北京: 科学出版社, 1988.
|
|
[4]
|
仪洪勋, 杨重骏. 亚纯函数唯一性理论[M]. 北京: 科学出版社, 1995.
|
|
[5]
|
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.
|
|
[6]
|
陈玉, 陈宗煊. 二阶复域微分方程亚纯解的不动点与超级[J]. 大学数学, 2006, 22(6): 78-81.
|
|
[7]
|
Bank, S. and Laine, I. (1982) On the Oscillation Theory of $f''+Af=0$ Where $A$ Is Entire. Transactions of the American Mathematical Society, 273, 351-363. http://dx.doi.org/10.2307/1999210
|
|
[8]
|
Gao, S.A. (1989) On the Complex Oscillation of Solutions of Nonhomogeneous Linear Differential Equations with Polynomial Coefficients. Comment Mathematici Universitatis Sancti Pauli, 38, 11-20.
|
|
[9]
|
Kwon, K.-H. (1996) Nonexistence of Finite Order Solutions of Certain Second Order Linear Differential equations. Kodai Mathematical Journal, 19, 378-387. http://dx.doi.org/10.2996/kmj/1138043654
|
|
[10]
|
陈玉, 陈宗煊, 廖莉. 高阶复域微分方程亚纯解的不动点与超级[J]. 江西师范大学学报, 2006, 30(3): 241-243.
|
|
[11]
|
陈玉, 陈宗煊. 几类高阶复域微分方程亚纯解的增长性[J]. 数学研究与评论, 2007, 27(4): 826-832.
|