一类三阶非线性时滞微分方程的振动性  

Oscillation of a Class of Third Order Nonlinear Delay Differential Equations

作　　者：赵玉萍[1] ZHAO Yuping(College of Mathematics and Statistics,Qinghai Nationalities University,Xining 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：《西北民族大学学报（自然科学版）》2024年第1期1-6,13,共7页Journal of Northwest Minzu University(Natural Science)

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

摘　　要：为进一步发展和完善微分方程的振动理论,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.利用Riccati变换、不等式技巧和分析性质,获得了该类方程振动的充分条件,最后用例子进行了验证.In order to develop and improve the oscillation theory on differential equations,the present article explore the oscillation criteria and asymptotic behavior of solutions for a class of third order nonlinear delay differential equations.By using Riccati transformation,inequality techniques and analytical properties,the sufficient conditions for the oscillation of the equations are established.Finally,these are verified by analyzing an example.

关 键 词：RICCATI变换 振动性 非线性 正解 时滞 

分 类 号：O175.7[理学—数学]