脉冲时滞抛物型偏微分方程组的振动性定理  

OSCILLATION THEOREM ON SYSTEMS OF A CLASS OF IMPULSIVE DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

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,湖南衡阳421008 [2]南华大学数学系,湖南衡阳421001

出　　处：《数学杂志》2009年第1期93-98,共6页Journal of Mathematics

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

摘　　要：本文研究了一类脉冲时滞抛物型偏微分方程组的振动性,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性判据.它反映了脉冲和时滞在振动中的影响作用.In this paper, we investigate the oscillation of the systems of a class of impulsive delay parabolic partial differential equations. By using impulsive delay differential inequalities of first order, some sufficient criteria for the oscillation of all solutions of the systems are established under two kinds of different boundary conditions. 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]