一类具阻尼项的偶阶中立型微分方程的振动性分析  

Oscillation Analysis for a Class of Even Order Neutral Differential Equations with Damping Terms

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）》2017年第5期1073-1076,共4页Journal of Jilin University:Science Edition

基　　金：广东省自然科学基金(批准号:S2013010013372);广东省高等学校特色创新项目(批准号:2014GXJK125);广东省高等教育教学改革项目(批准号:GDJG20142396)

摘　　要：考虑一类具有分布时滞和阻尼项的偶数阶、非线性中立型泛函微分方程,利用广义Riccati变换、H函数法和微分不等式技巧,建立其一切解振动的若干充分条件.The author considered a class of even order nonlinear neutral functional differential equations with distributed delays and damping terms.By using the generalized Riccati transformation,H function method and differential inequality skills,the author established some sufficient conditions for oscillation of all solutions of the equation.

关 键 词：振动性 偶阶 中立型 泛函微分方程 阻尼项 

分 类 号：O175.25[理学—数学]