吉林大学学报（理学版）2024，Vol.62Issue(1)：55-62,8.DOI:10.13413/j.cnki.jdxblxb.2023226
一类带次线性中立项和分布时滞的三阶阻尼微分方程的振动性
Oscillation of a Class of Third-Order Damped Differential Equations with Sublinear Neutral Terms and Distributed Delays
摘要
Abstract
By using the techniques of dealing with sublinear neutral terms,generalized Riccati transformation and integral averaging techniques,firstly,the author gave an analytical method for estimating Riccati transformation inequality.Secondly,the author considered a class of third-order damped differential equations with sublinear neutral terms and distributed delays,and obtained some sufficient conditions for the solution to oscillate or converge to zero.Finally,the results were verified by some examples.关键词
振动性/分布时滞/次线性中立项Key words
oscillation/distributed delay/sublinear neutral term分类
数理科学引用本文复制引用
林文贤..一类带次线性中立项和分布时滞的三阶阻尼微分方程的振动性[J].吉林大学学报（理学版）,2024,62(1):55-62,8.基金项目
国家自然科学基金(批准号:12026253)、广东省普通高校特色创新类项目(批准号:2023KTSCX083)、广东省一流课程《数学分析》建设项目(批准号:Z21011)和2022年度韩山师范学院质量工程建设项目(批准号:E22033). （批准号:12026253）
