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| 一类高阶微分方程解的增长性 | |
| 引用本文： | 田逢池,黄斌. 一类高阶微分方程解的增长性[J]. 数学理论与应用, 2013, 0(1): 19-22 |
| 作者姓名： | 田逢池 黄斌 |
| 作者单位： | 长沙理工大学数学与计算科学学院 |
| 基金项目： | 国家自然科学基金资助项目(项目编号:11071064);湖南省自然科学基金资助项目(项目编号:12jj3006) |
| 摘 要： | 本文研究了微分方程f^（k）＋Ak（z）e^ακ-^12f^（κ-1），…，＋A0（z）e^a0z=0的增长性，其中Aj（z）（j=0，1…κ-1）是整函数，其级小于1．在αj（j=0,1，…，κ-1）满足某条件下，得到该方程的任一超越解的超级等于1的结论． |
| 关 键 词： | 微分方程 超级 |
Growth Orders of Solutions of a Class of Higher Order Differential Equations |
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| Tian Fengchi Huang Bin. Growth Orders of Solutions of a Class of Higher Order Differential Equations[J]. Mathematical Theory and Applications, 2013, 0(1): 19-22 | |
| Authors: | Tian Fengchi Huang Bin |
| Affiliation: | Tian Fengchi Huang Bin(School of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha 410114,China) |
| Abstract: | The growth of the solutions of the differential equationf^（k）＋Ak（z）e^ακ-^12f^（κ-1）,…,＋A0（z）e^a0z=0 is studied, where Aj（z）（j=0,1…κ-1） are entire functions whose growth orders are less than I, and a result that the hyper order of any transcendental solution of the equation equals 1 is obtained under art additional assumption for αj（j=0,1,…,κ-1）. |
| Keywords: | Differential Equation Hyper - order |
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