| 慢增长系数微分方程的解及其导数的不动点 |
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| 引用本文： | 孙桂荣.慢增长系数微分方程的解及其导数的不动点[J].纯粹数学与应用数学,2011,27(3):348-356. |
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| 作者姓名： | 孙桂荣 |
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| 作者单位： | 苏州科技学院数理学院数学系,江苏苏州,215011 |
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| 基金项目： | 苏州科技学院科研基金(zl305) |
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| 摘 要： | 运用值分布理论研究了高阶慢增长系数线性微分方程的解及其导数的不动点问题.当存在某个系数对方程的解的性质起主要支配作用时,得到了方程解及其导数的不动点收敛指数的精确估计,推广了有关文献中的结论.
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| 关 键 词： | 线性微分方程 慢增长系数 超级 不动点 |
Fixed points of solutions and of derivatives of solutions of higher order differential equations with small growth |
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| SUN Gui-rong.Fixed points of solutions and of derivatives of solutions of higher order differential equations with small growth[J].Pure and Applied Mathematics,2011,27(3):348-356. |
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| Authors: | SUN Gui-rong |
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| Institution: | SUN Gui-rong(Department of Mathematics,University of Science and Technology of Suzhou,Suzhou 215009,China) |
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| Abstract: | In this paper,we investigate the fixed points of solutions and of the derivatives of solutions of higher order linear differential equations with small growth.If there exits some coefficient which is dominant,then we obtain some precise estimates to the exponents of convergence of the fixed points of solutions and of derivatives of solutions.Extends some result of concerned literature. |
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| Keywords: | differential equation function of small growth super order fixed poin |
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