| 关于一类二阶线性微分方程解的增长性 |
| |
| 引用本文： | 邱克娥,李惊雷,陶磊.关于一类二阶线性微分方程解的增长性[J].贵州师范大学学报(自然科学版),2013(6):56-61. |
| |
| 作者姓名： | 邱克娥 李惊雷 陶磊 |
| |
| 作者单位： | 贵州师范学院数学与计算机科学学院,贵州贵阳550018 |
| |
| 基金项目： | 贵州师范学院教学质量工程项目——数学与应用数学教学团队资助13595119424 |
| |
| 摘 要： | 考虑二阶复线性微分方程f″+Af'+Bf=0解的增长性,其中A(z)是满足杨张极值p=q2的有穷级整函数,赋予系数B(z)适当条件,保证方程的每一个非零解是无穷级的。
|
| 关 键 词： | 线性微分方程 亏值 渐进值 Borel方向 无穷级 |
On the growth of solutions of a class of second order linear differential equation |
| |
| Qiu ke-e,Li jing-lei,Tao lei.On the growth of solutions of a class of second order linear differential equation[J].Journal of Guizhou Normal University(Natural Sciences),2013(6):56-61. |
| |
| Authors: | Qiu ke-e Li jing-lei Tao lei |
| |
| Institution: | ( School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, China) |
| |
| Abstract: | In this paper, we consider the differential equationf＇ ＋ Af ＋ Bf = 0 where A （z） is an entire function with finite order, and satisfies Yang＇ s inequality. Then we will give some conditions on B（z） which can guarantee that every solutionf（z） 50 of the equation has infinite order. |
| |
| Keywords: | complex differential equations deficient value asymptotic value Borel direction infi-nite order |
| 本文献已被 维普 等数据库收录！ |
