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 Equationswith Sublinear Neutral Terms and Distributed Delays

作　　者：林文贤 LIN Wenxian(College of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,Guangdong Province,China)

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：《吉林大学学报（理学版）》2024年第1期55-62,共8页Journal of Jilin University:Science Edition

基　　金：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);2022年度韩山师范学院质量工程建设项目(批准号:E22033)。

摘　　要：利用处理次线性中立项的技术、广义Riccati变换和积分平均技巧,首先,给出一种估计Riccati变换不等式的解析方法;其次,考虑一类具有次线性中立项和分布时滞的三阶阻尼微分方程,给出解振动或收敛于零的一些充分条件;最后,通过实例验证所得结果.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 thi rd-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 

分 类 号：O175.1[理学—数学]