具有混合非线性项的二阶强迫常微分方程的振动性判定

Oscillation Criteria for Second Order Forced Ordinary Differential Equations with Mixed Nonlinearities

借助于一个一般的Riccati变换并应用函数的一致有界性,研究了一类具有混合项的非线性常微分方程的振动性,放宽了对q_i(t)的限制,建立了新的振动定理,推广并改进了一些已有的结果,给出具体的例子来说明所给出定理的适用性。

By virtue of Riccati transformation and the function s uniformly bounded,we study the oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities,broaden the restriction of,it builds some new oscillation criteria,and generalizations some known oscillation results.Example is given to illustrate our results.