中立型时滞抛物偏微分方程组解的振动性  

Oscillation of Solutions to a Class of Neutral Time-delay Parabolic Partial Differential Equation Systems

作　　者：蔡江涛[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《沈阳师范大学学报（自然科学版）》2009年第3期272-276,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：湖南省教育厅高等学校科学研究项目(06C189)

摘　　要：研究中立型时滞含高阶Laplace算子抛物偏微分方程组解的振动性,利用一阶中立型时滞微分不等式得到该类方程组在Robin,Dirichlet边值条件下振动的若干充分判据。所得结果充分反映了时滞在振动中的影响。Oscillatory properties of solutions to a class of neutral time-delay parabolic partial differential equation systems with high order Laplace operator 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 time-delay differential inequalities. The results obtained reflected fully the influence of the time-delay on the oscillation.

关 键 词：LAPLACE算子 中立型 时滞 抛物型偏微分方程组 振动性 

分 类 号：O175[理学—数学]