具一般系数的二阶非线性微分方程的比较定理

Comparison Theorem for second Order Nonlinear Differential Equations with General Coefficients

本文研究方程(1)的振荡性,得到了方程(1)有一个非振荡解的充分必要条件。

In this paper, we shall study the oscillatory property of solutions of the second order nonlinear differential equation (1). The authors obtain a sufficient and necessary conditions for the existence of nonoscillatory solution of the equation (1). from which we obtain a Hillewintner type comparison theorem.