时间尺度上带超线性中立项的二阶时滞动力方程的振动性  

Oscillation of Second Order Delay Dynamic Equations with Superlinear Neutral Terms on Time Scales

作　　者：仉志余 赵成 李宇宇 Zhang Zhiyu;Zhao Cheng;Li Yuyu(Department of Sciences,Taiyuan Institute of Technology,Taiyuan 030008;Inner Mongolia University of Science and Technology,Inner Mongolia Baotou 014010)

机构地区：[1]太原工业学院理学系,太原030008 [2]内蒙古科技大学信息工程学院,内蒙古包头014010

出　　处：《数学物理学报（A辑）》2021年第6期1838-1852,共15页Acta Mathematica Scientia

基　　金：国家自然科学基金(11701528,11647034,11747098);山西省自然科学基金(2011011002-3)。

摘　　要：该文研究时间尺度上带超线性中立项的二阶时滞动力方程的振动性,运用Riccati变换和Bernoulli不等式等技巧,得到了该方程多个新的振动定理,推广和改进了已有文献中的相应结果,其中几个定理即使对于微分方程也是新的.最后该文分别给出相应的实例验证了所得定理的有效性.In this paper,the oscillation of second order delay dynamic equations with superlinear neutral terms on time scales is studied.By using Riccati transformation and Bernoulli inequality techniques,several new oscillation theorems for the equation are obtained.The corresponding results in the existing literature are generalized and improved,some of which are new even for differential equations.Finally,some examples are given to verify the validity of the theorems.

关 键 词：振动性 超线性中立项 二阶 时滞动力方程 时间尺度 

分 类 号：O175[理学—数学]