脉冲扰动对非线性时滞双曲型分布参数系统振动的影响  

Effect of Impulsive Perturbations on Oscillation of Nonlinear Delay Hyperbolic Distributed Parameter Systems

作　　者：罗李平 罗振国 邓义华 Luo Liping;Luo Zhenguo;Deng Yihua(College of Mathematics and Statistics, Hengyang Normal University, Hunan Hengyang 421002)

机构地区：[1]衡阳师范学院数学与统计学院

出　　处：《数学物理学报（A辑）》2018年第2期313-321,共9页Acta Mathematica Scientia

基　　金：湖南省自然科学基金面上项目(2016JJ2008);湖南省教育厅重点项目(17A030);湖南省青年骨干教师培养对象([2015]361);湖南省重点实验室项目(2016TP1020);湖南省重点建设学科项目~~

摘　　要：研究一类具高阶Laplace算子的非线性脉冲时滞双曲型分布参数系统在第三类边值条件下的振动性质,借助处理高阶Laplace算子的技巧和脉冲时滞微分不等式,建立了这类系统振动的若干新的显式充分判据.所得结论充分显示这种振动性是由于脉冲扰动和时滞效应所引起的.The oscillatory behavior for a class of nonlinear impulsive delay hyperbolic dis- tributed parameter systems with higher order Laplace operator are investigated under third boundary value condition. By employing the technique of treating higher order Laplace operator and impulsive delay differential inequality, some new explicit sufficient criteria are established for the oscillation of such systems. The conclusions obtained fully show that the oscillation is caused by impulsive perturbation and delay effect.

关 键 词：振动性 双曲型分布参数系统 高阶LAPLACE算子 非线性 脉冲扰动 时滞效应 

分 类 号：O175.27[理学—数学]