摘要
考虑一类脉冲中立型时滞抛物偏微分方程组解的振动性,利用一阶脉冲时滞微分不等式获得了该类方程组在Robin,Dirichlet边值条件下所有解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 of solutions of the systems of a class of impulsive delay parabolic partial differential equations is considered.Some sufficient conitions for the oscillation of all solutions of the systems are obtained under two kinds of boundary conditions via impulsive delay differential ineqalities of first order .The results fully reflect the influence action of impulsive and delay in oscillation.
出处
《应用数学学报》
CSCD
北大核心
2007年第5期822-830,共9页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10471086)
湖南省教育厅科研计划(07C164)资助项目.
关键词
脉冲
中立型
时滞
抛物型偏微分方程组
振动
impulsive
neutral type
delay
system of parabolic partial differential equations
oscillation
