非线性中立抛物型时滞偏微分方程解的振动性质  

Oscillations of the Solutions of Nonlinear ParabolicPartial Differential Equations of Neutral Type

作　　者：刘安平[1] 刘克英[1] 薛秋条[1] 

机构地区：[1]中国地质大学(武汉)数理系,武汉430074

出　　处：《数学的实践与认识》2004年第3期110-115,共6页Mathematics in Practice and Theory

摘　　要：讨论一类多滞量非线性中立抛物型时滞偏微分方程解的振动性质 ,获得了其一切解振动的充分条件 ;指出了与普通抛物型偏微分方程质的差异 .Oscillatory properties of solutions of certain nonlinear parabolic partial differential equations of neutral type with nonlinear boundary condition are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay.

关 键 词：偏微分方程 时滞 抛物型 振动 非线性 

分 类 号：O175[理学—数学]