多时滞二阶非线性微分方程的渐近性  

Asymptotic Behavior for Second Order Nonlinear Differential Equations with Multiple Delays

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：《云南师范大学学报（自然科学版）》2024年第2期38-42,共5页Journal of Yunnan Normal University:Natural Sciences Edition

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：研究了一类具有多时滞的二阶非线性中立型微分方程的渐近性和振动性.利用Riccati变换,积分平均技巧和分析性质获得了该类方程解振动或收敛于零的充分条件.The asymptotic behavior and oscillation criteria of a family of second order nonlinear neutral differential equations with multiple delays are studied.By use of the Riccati transformation,the integral averaging technique and analytical properties,the sufficient conditions for every solution which the equation is either oscillatory or converges to zero are established.

关 键 词：RICCATI变换 振动性 渐近性 多时滞 正解 

分 类 号：O175.7[理学—数学]