具脉冲和时滞影响的非线性抛物系统边值问题的振动结果  

Oscillation Results For Boundary Value Problem of Nonlinear Parabolic Systems with Influence of Impulse and Delay

作　　者：肖娟[1] 蔡江涛[1] 王朝阳 

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]衡阳市第十五中学,湖南衡阳421008

出　　处：《数学的实践与认识》2014年第16期213-217,共5页Mathematics in Practice and Theory

基　　金：湖南省"十二五"规划重点学科"运筹学与控制论"项目资助(湘教发[2011]76号)

摘　　要：研究一类具非线性扩散项的脉冲时滞抛物偏微分系统解的振动性,借助Green公式、垂直相加法和脉冲时滞微分不等式,获得了该类系统在Robin边值条件下振动的充分性条件.所得结果充分反映了脉冲和时滞在系统振动中的影响作用.The oscillation of solutions of a class of impulsive delay parabolic partial differential system with nonlinear diffusion term is studied. By employing Green.Is formula, vertical additive method and impulsive delay differential inequalities, sufficient conditions for oscillation of such systems are obtained under Robin boundary condition. The results fully reflect the influence action of impulsive and delay in system oscillation.

关 键 词：非线性扩散项 脉冲 时滞 抛物系统 振动 

分 类 号：O175.26[理学—数学]