非线性时滞抛物型方程组的振动判据  

Oscillation Criteria of Systems of Nonlinear Delay Parabolic Functional Equations

作　　者：赵小龙[1] 

机构地区：[1]株洲职业技术学院基础课部,湖南株洲412001

出　　处：《吉首大学学报（自然科学版）》2007年第2期30-32,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省自然科学基金资助项目(05JJ40008)

摘　　要：讨论了一类非线性抛物型时滞偏微分方程系统的振动性,利用空间平均法和泛函微分方程的某些结果,获得了该类系统在第1类边值条件下所有解振动的若干充分条件.结论充分表明振动是由时滞量引起的.The oscillation for a class of systems of nonlinear parabolic delay partial differential equations is studied. Some sufficient conditions are obtained for oscillation of all solutions of the systems under first boundary value conditions via the method of spatial average and some results of the functional differential equations. The results fully indicate that the oscillation is caused by delay.

关 键 词：非线性 抛物型偏微分方程系统 时滞 振动 

分 类 号：O175.26[理学—数学]