高阶脉冲中立型偏泛函微分方程的强迫振动性  

Forced Oscillation of Higher Order Impulsive Neutral Partial Functional Differential Equations

作　　者：罗李平[1] 肖娟[1] 王艳群[1] 谢作政 曾云辉[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 [2]衡阳市现代农业示范园,湖南衡阳421200

出　　处：《数学的实践与认识》2012年第20期176-183,共8页Mathematics in Practice and Theory

基　　金：湖南省自然科学基金委员会与衡阳市政府自然科学联合基金(11JJ9002)

摘　　要：研究一类具高阶Laplace算子的高阶脉冲非线性中立型偏泛函微分方程的强迫振动性,利用Green公式和微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型微分不等式的问题,获得了这类方程在三类不同边值条件下所有解强迫振动的若干充分条件.In this paper, the forced oscillation of a class of higher order impulsive nonlinear neutral partial functional differential equations with higher order Laplace operator is studied. To reduce the discussed impulsive neutral partial differential equations to impulsive neutral differential inequalities via the Green＇s formula and the method of differential inequalities, some sufficient conditions for the forced oscillation of all solutions of such equations are obrained under three kinds of different boundary value conditions.

关 键 词：脉冲 非线性中立型 高阶偏泛函微分方程 强迫振动性 高阶LAPLACE算子 

分 类 号：O175[理学—数学]