带有阻尼项的二阶非线性微分方程的振动性

Oscillation Theorems for Second Order Nonlinear Differential Equation with Damping Term

在文献[1]的基础上,利用积分平均和完全平方技巧,研究了一类带有阻尼项的二阶非线性微 分方程的振动性,获得了该方程解的振动性的一个充分条件,实例验证表明,其结果改进和推广了现有 文献中的结论。

In this paper, a class of the oscillation theorems for second order nonlinear differential equation with damping term are investigated. We arrive at a new oscillation theorem through integral averaging and square technique. The examples given show that our oscillations improve and extend the conclusions drawns in the literature.