一类三阶非线性中立型阻尼泛函微分方程的振动性定理  

Oscillation Theorems of Certain Third-Order Nonlinear Neutral Damped Functional Differential Equations

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：《河南大学学报（自然科学版）》2015年第3期258-261,273,共5页Journal of Henan University:Natural Science

基　　金：广东省自然科学基金项目(S2013010013372);广东省高等教育教学改革项目(GDJG20142396);2014年度广东省高等学校特色创新(教育科研类)项目(粤教科函[2015]3号)

摘　　要：利用广义Riccati变换、积分平均技巧和微分不等式,研究一类具有连续偏差变元和阻尼项的三阶非线性中立型泛函微分方程的振动性质,建立了保证此方程所有解振动或者收敛于零的若干新的充分条件,所得结果推广和改进了最近文献的结果.The purpose of this paper is to study the oscillation of third-order nonlinear neutral damped functional differential equations with continuous deviating arguments and a damping item.By using the generalized Riccati transformation,integral averaging technique and differential inequalities,we establish some new sufficient conditions which insure that any solution of such equation oscillates or converges to zero.The corresponding results in known literatures are extended and improved.

关 键 词：三阶中立型方程 阻尼项 振动性 

分 类 号：O175.10[理学—数学]