一类带次线性中立项和阻尼项的三阶泛函微分方程的Philos型振动结果  

Philos-Type Oscillation Results for a Class of Third-Order Functional Differential Equations with Sublinear Neutral Terms and Damping Terms

作　　者：林文贤 LIN Wen-xian(College of Mathematics and Statistics,Hanshan Normal University,Chaozhou,Guangdong,521041)

机构地区：[1]韩山师范学院数学与统计学院,广东潮州521041

出　　处：《韩山师范学院学报》2023年第6期1-6,共6页Journal of Hanshan Normal University

基　　金：广东省普通高校特色创新类项目(项目编号:2023KTSCX083);广东省一流课程《数学分析》建设项目(项目编号:Z21011);2022年度韩山师范学院质量工程建设项目(项目编号:E22033).

摘　　要：研究一类带次线性中立项和阻尼顶的三阶非线性泛函微分方程,利用广义Riccati变换、不等性技术和J-函数技巧,建立了保证该类方程的所有解Philos型振动或收敛于零的新的充分条件,推广和改进了相关文献的结果.A class of third-order nonlinear functional differential equation with sublinear neutral terms and damping terms is studied.By using the generalized Riccati transformation,inequality tech-nique and J-function,a new sufficient condition is established to guarantee the Philos-type oscillation or convergence to zero for all solutions of the equations.The results of relevant literature are thus ex-tended and improved.

关 键 词：三阶泛函微分方程 次线性中立项 Philos型振动 

分 类 号：O175.1[理学—数学]