一类微分方程的解和小函数的关系 |
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引用本文: | 张然然,陈宗煊.一类微分方程的解和小函数的关系[J].数学物理学报(A辑),2009,29(4):918-928. |
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作者姓名: | 张然然 陈宗煊 |
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作者单位: | 华南师范大学教学科学学院,广州,510631 |
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基金项目: | 国家自然科学基金,广东省自然科学基金 |
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摘 要: | 研究二阶线性微分方程 f'+eaz f'+h(z)ebz f =0 的解以及它们的一阶、二阶、三阶导数, 微分多项式取小函数的点的收敛指数, 其中a, b 是非零复常数且a =cb(c>1), h(z)是非零多项式.
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关 键 词: | 微分方程 收敛指数 小函数 |
收稿时间: | 2007-07-30 |
修稿时间: | 2008-05-14 |
The Relation between Solutions of a Class of Differential Equations and Functions of Small Growth |
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Institution: | (School of Mathematical Sciences, South China Normal University, Guangzhou 510631) |
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Abstract: | This paper investigates the relation between solutions, their 1st, 2nd and 3rd derivatives, differential polynomial of the equation f'+eaz f'+h(z)ebz f =0 with functions of small growth, where a, b are nonzero complex numbers such that a =cb~(c>1) and h(z) is a nonzero polynomial. |
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Keywords: | Differential equationzz Exponent of convergencezz Function of small growthzz |
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