抛物型时滞偏微分方程解振动的充要条件  

Necessary and Sufficient Condition for Oscillations of Parabolic Partial Differential Equations

作　　者：肖莉[1] 崔晨培[1] 杨向辉[1] 

机构地区：[1]中国地质大学数理系,湖北武汉430074

出　　处：《洛阳师范学院学报》2004年第2期15-17,共3页Journal of Luoyang Normal University

基　　金：湖北省自然科学基金 (2 0 0 2AB0 18)

摘　　要：本文讨论一类多滞量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要条件及一些充分条件 .In this paper,oscillatory properties of solutions of certain parabolic partial differential equations are investigated,a series of necessary and sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay. This reveals the essential differences between the equations and those equations without delay.

关 键 词：时滞 抛物型 振动 充要条件 

分 类 号：O175.26[理学—数学]