具有次线性中立项的二阶微分方程的振动性  

Oscillation Criteria for Second Order Differential Equations with Sublinear Neutral Term

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

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：《四川师范大学学报（自然科学版）》2025年第1期138-142,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(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,研究一类具有次线性中立项的二阶非线性微分方程的振动性,利用Riccati变换、不等式技巧和分析性质,获得该类方程振动的充分条件.In order to develop and improve the theory about oscillation of differential equations,the oscillation criteria of a family of second order nonlinear differential equations with a sublinear neutral term are studied.By use of the Riccati transformation,inequality techniques and analytical properties,the sufficient conditions for the oscillation of the equations are established.

关 键 词：RICCATI变换 振动性 次线性中立项 正解 

分 类 号：O175.7[理学—数学]