二阶非线性微分方程的非振动准则  

The criterion of nonoscillation for nonlinear differential equation of second order

作　　者：程崇高[1] 袁明豪[1] 

机构地区：[1]黄冈师范学院数学系,湖北黄州438000

出　　处：《黄冈师范学院学报》2005年第3期1-2,6,共3页Journal of Huanggang Normal University

基　　金：湖北省教育厅重点科研资助项目(2004D003).

摘　　要：证明了一个微分恒等式,利用它得到了二阶非线性微分方程的一个充要条件,改进了已知的非振动性结果.<Abstrcat> In this paper, a differential indentity is proved, with which we obtain the necessary and sufficient condition of nonoscillation for nonlinear differential equation of second order. The known (results of) nonoscillation are generalized.

关 键 词：微分恒等式 非线性微分方程 非振动 充要条件 

分 类 号：O175[理学—数学]