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具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动性
引用本文:罗李平,王艳群.具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动性[J].数学的实践与认识,2011,41(18).
作者姓名:罗李平  王艳群
作者单位:衡阳师范学院数学与计算科学系,湖南衡阳,421002
基金项目:湖南省教育厅科研资助项目(07C164); 衡阳师范学院基础数学重点学科资助项目(院财字[2010]4号)
摘    要:研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏泛函微分方程,利用二阶脉冲时滞微分不等式,得到了该类方程在两类不同边值条件下所有有界解振动的若干充分判据.

关 键 词:脉冲  非线性  时滞  双曲型偏泛函微分方程  振动性  高阶Laplace算子

Oscillation of Nonlinear Impulsive Delay Hyperbolic Equations with Higher Order Laplace Operator
LUO Li-ping,WANG Yan-qun.Oscillation of Nonlinear Impulsive Delay Hyperbolic Equations with Higher Order Laplace Operator[J].Mathematics in Practice and Theory,2011,41(18).
Authors:LUO Li-ping  WANG Yan-qun
Institution:LUO Li-ping,WANG Yan-qun (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002 China)
Abstract:A class of nonUnear impulsive delay hyperbolic partial functional differential equations with higher order Laplace operator is investigated.By using impulsive delay differential inequalities of second order,some sufficient criteria for the oscillation of all bounded solutions of the equations are obtained under two different boundary value conditions.
Keywords:impulse  nonlinear  delay  hyperbolic partial functional differential equations  oscillation  higher order Laplace operator  
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