一类三阶半线性中立型阻尼微分方程的振动性  

Oscillation for Third-Order Neutral Functional Differential Equations with a Damping Term and Distributed Delays

作　　者：林文贤[1] 

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：《海南热带海洋学院学报》2016年第5期38-43,共6页Journal of Hainan Tropical Ocean University

基　　金：广东省高等学校特色创新项目(2014GXJK125);广东省高等教育教学改革项目(GDJG20142396)

摘　　要：研究一类三阶非线性中立型阻尼泛函微分方程,利用广义Riccati变换和积分平均技巧,建立了保证该类方程的一切解振动或者收敛于零的若干新的充分条件,推广和改进最近文献的结果.The oscillation of third -order nonlinear neutral damped functional differential equations with distributed delays was studied. By using a generalized Riccati transformation and integral averaging technique, established is some new sufficient conditions which insure that any solution of this equation oscillates converges to zero. Consequently, the corresponding results in the latest literature are extended and improved.

关 键 词：三阶中立型方程 阻尼项 Philos型振动性 

分 类 号：O175.10[理学—数学]