一类脉冲中立抛物型方程组解的振动性  

Oscillation of solutions to a class of impulsive neutral parabolic equation systems

作　　者：罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《兰州理工大学学报》2007年第6期131-135,共5页Journal of Lanzhou University of Technology

基　　金：湖南省自然科学基金(05JJ40008);湖南省教育厅科研基金(07C164)

摘　　要：研究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该类方程组在Robin,Dirichlet边值条件下振动的若干充分判据.所得结果充分反映脉冲和时滞在振动中的影响作用.Oscillatory properties of solutions to a class of impulsive neutral time-delay parabolic partial differential equation systems were studied. Some criteria of sufficient conditions for the oscillation of all solutions of the systems were obtained under Robin and Dirichlet boundary conditions by using first-order impulsive time-delay differential inequalities. The results obtained fully reflected the influence action of the impulse and time-delay on the oscillation.

关 键 词：脉冲 中立型 时滞 抛物型偏微分方程组 振动性 

分 类 号：O175.26[理学—数学]