二阶非线性中立型时滞微分方程的新振动准则  

On New Oscillation Criteria for Second Order Nonlinear Neutral Delay Differential Equations

作　　者：林丹玲[1] 屈海东[1] 

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《西南师范大学学报（自然科学版）》2016年第8期26-32,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学青年基金项目(11505042);韩山师范学院科研基金项目(LY201302);韩山师范学院扶持项目(LF201403)

摘　　要：研究了一类二阶非线性中立型时滞微分方程的振动问题.利用广义Riccati不等式,建立了若干新的振动准则.其结果改进和推广了最近的一些已知结果,并且给出了若干例子说明所得结果的有效性.In this paper, the oscillation problem for a certain class of second order nonlinear neutral delay differential equations has been studied. By using generalized Riccati inequality, several new oscillation cri- teria have been published. The results of this paper generalize and improve several known results in the literature recently. Some illustrating examples have also been provided to show the importance of these results.

关 键 词：振动 中立型时滞微分方程 广义Riccati不等式 

分 类 号：O175.1[理学—数学]