一类脉冲中立型抛物方程解的强迫振动性  

Forced Oscillation of a Kind of Impulsive Parabolic Differential Equations of Neutral Type

作　　者：杨向辉[1] 薛秋条[1] 刘克英[1] 

机构地区：[1]中国地质大学数理系,湖北武汉430074

出　　处：《南阳师范学院学报》2005年第3期1-5,共5页Journal of Nanyang Normal University

基　　金：国家自然科学基金资助项目(40373003);湖北省自然科学基金资助项目(2002AB018)

摘　　要：讨论了一类具有连续分布滞量的脉冲中立型抛物方程解的强迫振动性,利用微分不等式方法将所讨论的脉冲中立型偏微分方程转化为脉冲中立型时滞微分方程的问题,获得了其一切解振动的充分性判据;将脉冲中立型微分方程的振动性质推广到具时滞的脉冲中立型偏微分方程.Discussed in this paper is the forced oscillation of solutions of impulsive parabolic differential equations with continuous distributed deviating arguments.It inverted the discussed impulsive delayed partal differential equations of neutral type into impulsive delayed ordinary differential equations of neutral type via the method of differential inequalities.Several sufficient criterias are established for oscillations of the solutions;the results fully extend the oscillatory properties of impulsive differential equations of neutral type to impulsive partial differential equations with delayed of neutral type.

关 键 词：脉冲 中立型 强迫振动 抛物方程 

分 类 号：O175.26[理学—数学]