脉冲中立型时滞抛物偏微分方程组的振动准则  

Oscillation of Systems of Impulsive Neutral Delay Parabolic Equations about Boundary Value Problems

作　　者：罗李平[1] 欧阳自根[2] 

机构地区：[1]衡阳师范学院数学系,衡阳421008 [2]南华大学数学系,衡阳421001

出　　处：《应用数学学报》2007年第5期822-830,共9页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10471086);湖南省教育厅科研计划(07C164)资助项目.

摘　　要：考虑一类脉冲中立型时滞抛物偏微分方程组解的振动性,利用一阶脉冲时滞微分不等式获得了该类方程组在Robin,Dirichlet边值条件下所有解振动的若干充分条件.所得结果充分反映了脉冲和时滞在振动中的影响作用.The oscillation of solutions of the systems of a class of impulsive delay parabolic partial differential equations is considered.Some sufficient conitions for the oscillation of all solutions of the systems are obtained under two kinds of boundary conditions via impulsive delay differential ineqalities of first order .The results fully reflect the influence action of impulsive and delay in oscillation.

关 键 词：脉冲 中立型 时滞 抛物型偏微分方程组 振动 

分 类 号：O175.26[理学—数学]