时间测度链上n阶非线性中立型时滞动力方程的振动性(英文)  

Oscillation for nth-order Nonlinear Neutral Delay Dynamic Equations on Time Scales

作　　者：杨甲山[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004

出　　处：《应用数学》2013年第4期816-827,共12页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Hunan Province (12JJ6006);the Hunan Province Science and Technology Project (2012FJ3107);the National Natural Science Foundation of China (11071222)

摘　　要：研究时间测度链上的一类n阶非线性中立型时滞动力方程的振动性.利用时间测度链上的有关理论和不等式技巧,获得该类方程振动的判别准则,这些准则不仅是新的,而且在时间测度链上统一了高阶非线性中立型时滞微分方程和差分方程的振动性质,最后举例说明了本文主要结果的应用.The oscillation for certain nth-order nonlinear neutral variable delay dynamic equations on time scales is discussed. By using the time scales theory and the inequality technique,some oscillation criteria of the equations are established. These results are new and also unify the oscillation of higher order nonlinear neutral delay differential equations and higher order nonlinear neutral delay difference equations. Some examples were given to illustrate the main results of this article.

关 键 词：振动性 时间测度链 高阶动力方程 中立型 变时滞 

分 类 号：O175.7[理学—数学]