时标上一类二阶中立型动力方程的振动性  

Oscillation for a Second Order Netural Dynamic Equation on Measure Chains

作　　者：刘兰初[1] LIU Lan-chu(School of Computational Science and Electroncs,Hunan Institute of Engineering,Xiangtan 411104,China)

机构地区：[1]湖南工程学院计算科学与电子学院,湘潭411104

出　　处：《湖南工程学院学报（自然科学版）》2020年第3期37-40,共4页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：时标上高阶动力方程的微积分理论往往比较复杂,极大地限制了对各种高阶方程解的性质的研究,运用一定的数学分析技巧,采用反证法,获得了时标上一类二阶中立型动力方程所有解振动的充分条件,并获得了该方程非振动解的稳定性、有界性等若干条件.The calculus theory of the higher order dynamic equations on the time scale is more complicated,which greatly limits the research of the higher order equations. In this paper,by means of mathematical analysis and reduction to absurdity,sufficient conditions are obtained for the oscillation of all solutions of the second order neutral dynamic equation on a time scale.The stability and boundedness of the nonoscillation solution are also obtained.

关 键 词：时标 中立型 振动 

分 类 号：O175.1[理学—数学]