[1]胡军,易才凤.高阶非齐次线性微分方程解沿径向的振荡性质[J].江西师范大学学报(自然科学版),2014,(02):162-166.
　HU Jun,YI Cai-feng.The Radial Oscillation of Higher Order Non-Homogeneous Linear Differential Equation[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(02):162-166.
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高阶非齐次线性微分方程解沿径向的振荡性质()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年02期
页码:
162-166
栏目:
出版日期:
2014-04-30

文章信息/Info

Title:
The Radial Oscillation of Higher Order Non-Homogeneous Linear Differential Equation
作者:
胡军;易才凤
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
HU Jun；YI Cai-feng
关键词:
微分方程; 解; 角域; 径向; Borel方向; 超级
Keywords:
differential equations; solutions; angular domain; radial; Borel direction; hyper order
分类号:
O174.52
文献标志码:
A
摘要:
运用角域上值分布的理论和方法,研究了高阶非齐次线性微分方程的无穷级解沿径向上的振荡性质,得到了方程的无穷级解沿Borel方向上的超级和超级零点收敛指数的估计.
Abstract:
It is investigated that the radial oscillation of infinite order solutions of higher order nonhomogeneous linear differential equation,by using the fundamental theory and method of value distribution in angular domain.It was obtained that the estimations on the hyper order and the hyper order convergence exponent of the sequence of zero of infinite order solutions along it's Borel direction of hyper order.

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备注/Memo

备注/Memo:
国家自然科学基金(11171170)
更新日期/Last Update: 1900-01-01