二阶中立型时滞微分方程解的振动性  

The Oscillation Criteria of Solution forSecond Order Neutral Delay Differential Equations

作　　者：赵玉萍[1] ZHAO Yuping(College of Mathematics and Statistics,Qinghai Minzu University,Xining Qinghai 810007,China)

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007

出　　处：《江西师范大学学报(自然科学版)》2025年第1期1-4,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12161071);青海省科技厅科技计划课题(2023-ZJ-949Q)资助项目。

摘　　要：为了进一步完善微分方程解的振动性理论,该文研究了一类具有时滞和中立项的二阶微分方程解的振动性.利用Riccati变换、Philos型积分平均和实分析技巧建立了该类方程解振动的3个判别准则,并举例说明了定理的应用.In order to improve the theory about the oscillation criteria of solution of differential equations,the oscillation of solutions of a class of second order differential equations with delay and neutral terms is studied.By using Riccati transformation,Philos-type integral averaging and real analysis techniques,three discrimination criteria for the oscillation of solutions of this type of equation are established.An example is provided to illustrate the application of the theorems.

关 键 词：RICCATI变换 振动性 积分平均 正解 

分 类 号：O175.7[理学—数学]