具非正中立项系数的三阶阻尼微分方程的振动性定理

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (5): 149-153.

具非正中立项系数的三阶阻尼微分方程的振动性定理

林文贤^*

韩山师范学院数学与统计学院, 广东潮州 521041

收稿日期:2023-09-24 出版日期:2025-10-28 发布日期:2025-10-25
通讯作者: 林文贤(1966-),男,广东潮州人,教授. Email:2450512677@qq.com
基金资助:
国家自然科学基金(12026253),广东省普通高校特色创新类项目(2023KTSCX083),广东省一流课程《数学分析》建设项目(Z21011)

Oscillation theorems for third-order damped differential equation with coefficients of nonpositive neutral term

LIN Wen-xian

College of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China

Received:2023-09-24 Online:2025-10-28 Published:2025-10-25

摘要/Abstract

摘要： 研究一类具非正中立项系数的三阶非线性分布时滞阻尼微分方程的振动性,利用广义Riccati变换技术及Yang不等式等方法,建立了该类方程的所有解振动或趋向于零的新的充分条件,推广和改进了相关结果,并通过实例说明了主要结论.

关键词: 振动性, 非正中立项系数, 微分方程, 阻尼项

Abstract: The oscillation of certain third-order nonlinear damped differential equations with coefficients of nonpositive neutral term is studied. By using the generalized Riccati transform technique and Yang inequality, some new sufficient conditions are established under which all solutions of the considered equations either oscillate or tend to zero. These results extend and improve upon several relative results. An example is given to illustrate the main results.

Key words: oscillation, coefficients of nonpositive neutral term, differential equations, damping terms

中图分类号:

O175.1

林文贤. 具非正中立项系数的三阶阻尼微分方程的振动性定理[J]. 兰州理工大学学报, 2025, 51(5): 149-153.

LIN Wen-xian. Oscillation theorems for third-order damped differential equation with coefficients of nonpositive neutral term[J]. Journal of Lanzhou University of Technology, 2025, 51(5): 149-153.

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