二阶中立型Emden-Fowler方程的区间振动准则  

Interval Oscillation Criteria for Second Order Neutral Differential Equations of Emden-Fowler Type

作　　者：余晋昌[1] 

机构地区：[1]东莞理工学院计算机学院,广东东莞523808

出　　处：《数学的实践与认识》2016年第7期187-194,共8页Mathematics in Practice and Theory

摘　　要：利用Riccati变换及积分平均技巧,建立了一类具有多个时滞的中立型Emden-Fowler方程的区间振动准则,这些准则不同于已知的依赖于整个[t_0,∞)性质的结果,而是仅依赖于[t_0,∞)的子区间列的性质,结果推广并改进了一些已有的结果.By the use of the integral averaging technique and Riccati transformation, we establish some interval oscillation criteria for a class of second order Emden-Fowler neutral differential equations with several delays. The results obtained are extensions of some known results in the literature.

关 键 词：振动 中立型 平均技巧 Emden—Fowler方程 RICCATI变换 

分 类 号：O175[理学—数学]