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关于一类二阶线性微分方程解的增长性 被引量:3

On the growth of solutions of a class of second order linear differential equation
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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
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