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。
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.
出处
《贵州师范大学学报(自然科学版)》
CAS
2013年第6期56-61,共6页
Journal of Guizhou Normal University:Natural Sciences
基金
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
关键词
线性微分方程
亏值
渐进值
BOREL方向
无穷级
complex differential equations
deficient value
asymptotic value
Borel direction
infi-nite order