非线性三阶时滞微分方程的振动性  

Oscillation criteria for third order nonlinear delay differential equations

作　　者：赵玉萍[1] ZHAO Yu-ping(College of Mathematics and Statistics,Qinghai Minzu 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：《西北师范大学学报（自然科学版）》2024年第2期21-25,共5页Journal of Northwest Normal University(Natural Science)

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

摘　　要：利用Riccati变换、不等式技巧和分析性质,研究了一类三阶非线性时滞微分方程解的振动性和渐近性,获得了该类方程振动的充分条件,最后用例子作了验证.By using Riccati transformation,inequality techniques and analytical properties,the oscillation criteria and asymptotic behavior of solutions for a class of third order nonlinear delay differential equations are studied,the sufficient conditions for the oscillation of the equations are established.Finally,an example is used to verify it.

关 键 词：时滞微分方程 RICCATI变换 振动性 渐近性 正解 

分 类 号：O175.7[理学—数学]