非线性中立双曲型泛函偏微分方程系统的振动准则  

Oscillation Criteria of Systems of Nonlinear Neutral Hyperbolic Functional Partial Differential Equations

作　　者：罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《西南大学学报（自然科学版）》2008年第2期30-33,共4页Journal of Southwest University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(05JJ40008);湖南省教育厅科研计划资助项目(07C164)

摘　　要：考虑一类非线性中立双曲型时滞偏微分方程系统解的振动性.利用空间平均法和泛函微分方程的某些结果,获得了该类系统振动的若干充分条件.结果表明振动是由时滞量引起的.The oscillation of solutions for a class of systems of nonlinear neutral hyperbolic delay partial differential equations is considered in this paper. Some sufficient conditions are obtained for oscillation of such systems by making use of the methods of spatial equations. The results indicate that the oscillation is average and some results of the functional differential caused by delay.

关 键 词：非线性 中立型 时滞 双曲型偏微分方程系统 振动性 

分 类 号：O175.27[理学—数学]