一类拟线性脉冲时滞抛物方程组的强迫振动性  

Forced Oscillation for Systems of a Class of Quasilinear Impulsive Delay Parabolic Equations

作　　者：罗李平[1] 杨柳[1] 王艳群[1] 

机构地区：[1]衡阳师范学院数学与计算科学系

出　　处：《南京师大学报（自然科学版）》2009年第4期7-11,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：湖南省教育厅科研资助项目(07C164);湖南省自然科学基金(06JJ5001)资助项目

摘　　要：考虑一类拟线性脉冲时滞抛物型偏微分方程组的振动性和强振动性,直接利用振动的定义、G reen公式和Newm ann边值条件将这类具强迫项的脉冲时滞抛物型方程组的振动问题转化为脉冲时滞微分不等式不存在最终正解的问题,并利用最终正解的定义和脉冲时滞微分不等式,获得了该类方程组所有解振动和强振动的若干充分条件.所得结果充分反映了脉冲和时滞在振动中的影响作用.The oscillation and strong oscillation of the systems of a class of quasilinear impulsive delay parabolic partial differential equations is considered. By using the oscillatory definition, Green＇ s formula and Newmann boundary condition directly, the oscillatory problem of solution to the systems of impulsive delay parabolic equations with the forcing term is reduced to the problem of which impulsive delay differential inequality hasn＇ t eventually position solution, and thereby some sufficient conditions are obtained for the oscillation and strong oscillation of all solutions of such systems via the definition of eventually position solution and impulsive delay differential inequality. The obtained results fully reflect the influence action of impulsive and delay in oscillation.

关 键 词：拟线性 脉冲 时滞抛物型偏微分方程组 振动性 强振动性 

分 类 号：O175.26[理学—数学]