一类具次线性中立项的二阶动力方程的振动性  

Oscillation of Some a Second-order Dynamic Equations with Sublinear Neutral Terms on Time Scales

作　　者：赵春茹[1,2] ZHAO Chunru(Guangxi Key Laboratory of Machine Vision and Intelligent Control,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Intelligent Software,Wuzhou University,Wuzhou 543002,China.)

机构地区：[1]梧州学院广西机器视觉与智能控制重点实验室,广西梧州543002 [2]梧州学院广西高校智能软件重点实验室,广西梧州543002

出　　处：《许昌学院学报》2025年第2期6-11,共6页Journal of Xuchang University

基　　金：梧州学院2021年校级博士基金项目(2021A001)。

摘　　要：在非正则条件下研究一类具有次线性中立项的二阶动力方程的振动性,利用时间轴上的微积分理论和广义黎卡提变换以及不等式技巧建立了一些新的振动准则,推广了已有文献中的结果,并给出应用实例加以验证.The oscillation properties of a class of second-order dynamic equations with sublinear neutral term are studied under irregular conditions.Some new oscillation criteria for this class of dynamic equations are established by using the time scales calculus theory,generalized Riccati transform and inequality techniques.These theories generalize and enrich the results in the literature.Finally,an example is given to illustrate the results.

关 键 词：振动性 二阶动力方程 次线性中立项 时间轴 

分 类 号：O175.7[理学—数学]