非线性中立型时滞抛物微分方程解的振动性  

Oscillations of Some Nonlinear Neutral Parabolic Delay Differential Equations

作　　者：刘克英[1,2] 徐少贤 

机构地区：[1]中国地质大学数理系 [2]南阳师范学院数学系,河南南阳473061 [3]南阳师范学院数学系

出　　处：《南阳师范学院学报》2004年第9期1-5,共5页Journal of Nanyang Normal University

基　　金：国家自然科学基金 (项目编号 :40 3 73 0 0 3 )资助项目

摘　　要：研究一类多滞量的非线性中立型抛物微分方程解的振动性 ,利用一阶泛函微分不等式的结果得到一些判断方程的解振动的条件 .结果充分表明振动是由时滞引起的 。This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the oscillation caused by delays and the essential difference between this type and that without delays.

关 键 词：振动 时滞 抛物 中立 微分不等式 

分 类 号：O175.26[理学—数学]