脉冲向量中立型抛物方程解的H-振动性  

H-oscillation of solutions of impulsive vector neutral parabolic equations

作　　者：罗李平[1] 杨柳[1] 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421008

出　　处：《高校应用数学学报（A辑）》2010年第4期463-468,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：湖南省教育厅科研项目(07C164)

摘　　要：研究一类脉冲向量中立型抛物偏微分方程边值问题解的振动性,利用Domslak引进的H-振动的概念及内积降维的方法,将多维振动问题化为一维脉冲中立型微分不等式正解的不存在性问题,并借助于一阶脉冲中立型微分不等式,给出了该类边值问题所有解H-振动的若干充分性判据,这里H是R^M中的单位向量.The oscillations of solutions of boundary value problems for certain impulsive vector neutral parabolic partial differential equations are investigated.By using H-oscillation introduced by Domslak and the method of dimension reduction with inner product,multi-dimensional oscillation problems are reduced to the nonexistence of positive solutions of one-dimensional impulsive neutral differential inequalities.Thereby some sufficient criteria for H-oscillation of all solutions of the boundary value problems are given via first order impulsive neutral differential inequalities,where H is a unit vector of R^M.

关 键 词：脉冲 向量 中立型 抛物型偏微分方程 H-振动 

分 类 号：O175.26[理学—数学]