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二阶线性微分方程亚纯解与小函数的关系

The Relation Between Meromorphic Solutions of Second Order Differential Equations and Functions of Small Growth
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摘要 该文讨论二阶线性微分方程．f″＋A（z）f=0，其中A（z）是具有至多有穷多个极点的超越亚纯函数，得到了上述方程的亚纯解以及它的一阶，二阶导数和小函数的关系． This article is devoted to studying the second order differential equation f＂ ＋ A（z）f =0, where A（z） is a meromorphic function with at most finitely many poles. The relation between functions of small growth and meromorphic solutions, their 1st and 2nd derivatives of the above equation are obtained.
作者 黄志刚
机构地区 苏州科技学院数理学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2011年第6期1610-1618,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(11001057) 江苏省自然科学基金(BK2010234) 江苏省青蓝工程资助
关键词 线性微分方程 亚纯函数 零点收敛指数 小增长函数. Linear differential equation Meromorphic function Exponent of convergence ofzero-sequence Function of small growth.
分类号 O174.52 [理学—基础数学]
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参考文献15

  • 1Gao S A, Chen Z X, Chen T W. The Complex Oscillation Theory of Linear Differential Equations (in Chinese). Wuhan: Huazhong Univ Sci Tech Press, 1998.
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数学物理学报（A辑）
2011年 第6期

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