一类具有(p,q)级系数的二阶线性微分方程的振动理论  

On the Oscillation Theory of Second Order Differential Equations with Transcendental Coefficients (p,q)

作　　者：蔡惠京[1] 

机构地区：[1]中山学院

出　　处：《长沙交通学院学报》1999年第2期9-12,共4页Journal of Changsha Communications University

基　　金：湖南省自然科学基金

摘　　要：讨论二阶线性微分方程解的零点分布情况，首先给出了方程存在不取零值的解的条件；其次证明了如果方程存在两个不取零值的线性无关解，则它的解取到零值时，必定不以零为Ｂｏｒｅｌ例外值。In this paper, we investigate the distribution of zeros of solutions of second order differential equation. We first give the condition that the equation has some solutions having a Picard's exceptional value α =0. Secondly, we consider the growth of solutions of the equation and derive the condition that the equation has some solutions having a Borel's exceptional value α =0.

关 键 词：整函数 (p q)级 例外值 微分方程 振动性 

分 类 号：O241.8[理学—计算数学] O175[理学—数学]