具阻尼项的二阶拟线性泛函差分方程的振荡性判别准则  

Oscillation criteria for the second order quasilinear functional difference equations with damping

作　　者：杨甲山[1] 张晓建[2] 

机构地区：[1]梧州学院数理系,广西梧州543002 [2]邵阳学院理学与信息科学系,湖南邵阳422004

出　　处：《浙江大学学报（理学版）》2015年第3期276-281,共6页Journal of Zhejiang University（Science Edition）

基　　金：广西省教育厅基金项目(2013YB223);湖南省科技厅基金项目(2012FJ3107);湖南省教育厅科研项目(10Cl189)

摘　　要：研究了一类二阶拟线性中立型变时滞阻尼泛函差分方程的振荡性,利用Riccati变换方法,结合完全平方技术和大量不等式技巧,获得了该类方程振荡的新判别准则,所得结论推广并改进了现有研究中的一些结果.并给出具体例子来说明文中结论的重要性.The oscillation of a class of the second order quasilinear neutral variable delay damped functional difference equations was discussed. By using the generalized Riccati transformation combined with the averaging technique and a lot of inequality techniques, some new oscillation criteria for the equations were proposed. The results in this arti- cle have extended and improved the results given in other literatures. Further, some examples are given to illustrate the importance of our results.

关 键 词：振荡性 中立型差分方程 变时滞 阻尼项 RICCATI变换 

分 类 号：O175.7[理学—数学]