脉冲时滞抛物型偏微分方程组解的振动性  

Oscillation Theorem of Systems of a Class of Impulsive Delay Parabolic Partial Differential Equations

作　　者：罗李平[1] 高正晖[1] 欧阳自根[2] 

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

出　　处：《应用泛函分析学报》2007年第4期343-348,共6页Acta Analysis Functionalis Applicata

基　　金：湖南省自然科学基金(05JJ40008);2007年湖南省教育厅科研项目

摘　　要：研究一类脉冲时滞抛物型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两类不同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 studied. Some sufficient criteria for the oscillation of all solutions of the systems are obtained under two kinds of different boundary conditions by using impulsive delay differential inequalities of first order. The results fully reflect the influence action of impulsive and delay in oscillation.

关 键 词：脉冲 时滞 抛物型偏微分方程组 振动性 

分 类 号：O175.26[理学—数学]