带分布时滞和阻尼项的偶阶中立型广义弹性杆方程组的振动性分析  

Oscillation Analysis of Even Order Nonlinear Neutral Generalized Elastic Rod Equation Systems with Distributed Delays 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》2024年第6期1-7,共7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：讨论了一类非线性广义弹性杆组的振动性分析,引入一类新型函数,再利用广义Riccati方法,在不须利用特征值定理前提下,获得了该广义弹性杆组在Robin边界条件下每个解振动一些充分性定理,推广了相关文献的结论.This study discusses the oscillation analysis of a class of nonlinear generalized elastic rod systems.A new type of function is introduced,and the generalized Riccati method is employed to derive sufficient conditions for the oscillation solutions of the generalized elastic rod system under Rob-in boundary conditions,without the need for the eigenvalue theorem.This work extends the conclu-sions of related literature.

关 键 词：广义弹性杆方程组 分布时滞 振动性 中立型 

分 类 号：O175.26[理学—数学]