一类二阶中立型时滞微分方程的振动性  

Oscillation criteria for a family of second order neutral delay differential equations

作　　者：赵玉萍[1] ZHAO Yu-ping(College of Mathematics and Statistics,Qinghai Nationalities University,Xining 810007,Qinghai,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：《云南大学学报（自然科学版）》2022年第6期1101-1106,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(12161071);青海民族大学校级项目(2021XJGH09).

摘　　要：为了进一步发展和完善微分方程的振动理论,考虑了一类二阶非线性中立型时滞微分方程的振动性问题.利用Riccati变换、微分中值定理以及不等式技巧获得了该类方程的几个新的振动准则,并举例说明了定理的应用.In order to develop and improve the theory about oscillation of differential equations,the oscillation problems for a family of second order nonlinear neutral delay differential equations are considered.By use of the Riccati transformation,the mean value theorem and inequality techniques,some new oscillation criteria are established for the equations above,and an example is given to illustrate the application of the theorem.

关 键 词：微分方程 RICCATI变换 振动性 二阶 正解 

分 类 号：O175.7[理学—数学]