首页 | 本学科首页   官方微博 | 高级检索  
     检索      

非线性中立抛物型偏微分方程系统的振动性定理
引用本文:罗李平.非线性中立抛物型偏微分方程系统的振动性定理[J].数学的实践与认识,2009,39(6).
作者姓名:罗李平
作者单位:衡阳师范学院数学系,湖南,衡阳,421008
基金项目:湖南省教育厅科研项目 
摘    要:研究一类非线性中立抛物型时滞偏微分方程系统解的振动性质,利用积分不等式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.

关 键 词:非线性  中立型  抛物型偏微分方程系统  时滞  振动

Oscillation Theorems of Systems of Nonlinear Neutral Parabolic Partial Differential Equations
LUO Li-ping.Oscillation Theorems of Systems of Nonlinear Neutral Parabolic Partial Differential Equations[J].Mathematics in Practice and Theory,2009,39(6).
Authors:LUO Li-ping
Abstract:The oscillation of solutions for a class of systems of nonlinear neutral parabolic delay partial 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 by making use of the integral inequalities and some results of the functional differential equations.The results fully indicate that the oscillation are caused by delay.
Keywords:nonlinear  neutral type  systems of parabolic partial differential equation  delay  oscillation
本文献已被 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号