摘要
研究一类基于脉冲和时滞影响的向量抛物型偏微分方程的振动性,利用脉冲时滞微分不等式,建立了该类方程在Dirichlet边值条件下所有解H-振动的若干新的充分判据,这里H是Rm中的单位向量。所得结果充分反映了脉冲和时滞在方程振动中的影响作用。
The oscillation for a class of vector parabolic partial differential equations based on the influence of impulse and delay is investigated. By using impulsive delay differential inequality, some new suf- ficient criteria are established for H-oscillation of all solutions of such equations under Dirichlet boundary value condition, where H is a unit vector in Rm. The obtained results fully reflect the influence action of impulse and delay in equation oscillation.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第2期45-48,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
湖南省自然科学-衡阳联合基金资助项目(11JJ9002)
湖南省"十二五"重点建设学科资助项目
关键词
H-振动
向量
抛物型方程
脉冲
时滞
H-oscillation
vector
parabolic equation
impulse
delay
