一类带强迫项的二阶阻尼微分方程的区间振动性  

Interval Oscillation for Certain Second Order Damped Differential Equations with Force Term

作　　者：林文贤[1] 

机构地区：[1]韩山师范学院数学与统计学系,广东潮州521041

出　　处：《郑州大学学报（理学版）》2014年第2期1-5,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：广东省自然科学基金资助项目;编号S2013010013372

摘　　要：研究了一类带强迫项的非线性二阶阻尼泛函微分方程,利用Riccati变换和完全平方技术,得到了该方程的区间振动准则,所得结果推广和包含了已有文献的研究结果,并给出2个应用实例.Sufficient conditions for the interval oscillation of all solutions of the nonlinear second order damped functional differential equations with force term were obtained,by using Riccati transformation and integrality technique.Some known results were generalized and improved.The main results were illustrated by two examples.

关 键 词：阻尼 强迫项 区间振动性 分布偏差变元 

分 类 号：O175.13[理学—数学]