具阻尼项的高阶中立型泛函微分方程的振荡性  

Oscillation of Higher Order Neutral Functional Differential Equations with Damping

作　　者：杨甲山[1] 

机构地区：[1]梧州学院数理系,广西梧州543002

出　　处：《中山大学学报（自然科学版）》2014年第3期67-72,共6页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：湖南省科技厅基金资助项目(2012FJ3107);湖南省教育厅科研重点资助项目(09A082);广西教育厅科研资助项目(2013YB223)

摘　　要：研究了一类具有阻尼项的偶数阶非线性变时滞中立型泛函微分方程的振荡性,借助于Hlder不等式及一些分析技巧,利用Riccati变换和H函数的方法,获得了该类方程振荡的一些新的判别准则,所得结论推广并改进了现有文献中的一些结果。并以具体例子说明了所得结果的重要性。The oscillation for a class of even order nonlinear variable delay neutral functional differential equation with damping is discussed. By using the generalized Riccati transformation and the method of H function, and Holder inequality and some necessary analytic techniques, some new criteria for the oscillation of the equation are proposed. These criteria improve and generalize some corresponding known re sults. Some examples are given to illustrate the importance of the results.

关 键 词：振荡性 阻尼项 泛函微分方程 RICCATI变换 

分 类 号：O175.7[理学—数学]