非线性时滞抛物型偏泛函微分方程系统解的振动准则  

OSCILLATION CRITERIA OF SOLUTIONS OF SYSTEMS OF NONLINEAR PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

作　　者：赵小龙[1] 

机构地区：[1]株洲职业技术学院

出　　处：《哈尔滨师范大学自然科学学报》2007年第4期16-18,共3页Natural Science Journal of Harbin Normal University

基　　金：湖南省自然科学基金资助项目(05JJ40008)

摘　　要：研究一类非线性抛物型时滞偏泛函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一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 functional differential equations are studied in this paper.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 are caused by delay.

关 键 词：非线性 抛物型偏泛函微分方程 系统 时滞 振动性 

分 类 号：N55[自然科学总论] G658.3[文化科学—教育学]