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)

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.