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一类微分方程的解和小函数的关系
  • 期刊名称：数学物理学报, 29(4)(2009), 918-928.
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学科学学院,广州510631
  • 相关基金：国家自然科学基金（10871076）和广东省自然科学基金（06025059）资助
  • 相关项目：复域差分, 差分方程与微分方程的解析性质
关键词： 微分方程, 收敛指数, 小函数, Differential equation, Exponent of convergence, Function of small growth.
中文摘要：

研究二阶线性微分方程，f″＋e^azf″＋h（z）e^bzf=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．

英文摘要：

This paper investigates the relation between solutions, their 1st, 2nd and 3rd derivatives, differential polynomial of the equation f″＋e^azf″＋h（z）e^bzf=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.

同期刊论文项目
复域差分, 差分方程与微分方程的解析性质
期刊论文 62
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