具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动性  

Oscillation of Nonlinear Impulsive Delay Hyperbolic Equations with Higher Order Laplace Operator

作　　者：罗李平[1] 王艳群[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《数学的实践与认识》2011年第18期204-208,共5页Mathematics in Practice and Theory

基　　金：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.A class of nonlinear impulsive delay hyperbolic partial functional differential equa- tions 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.

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 

分 类 号：O175.27[理学—数学]