非线性脉冲时滞抛物型偏微分方程组边值问题的振动准则  

Oscillation Criteria for Boundary Value Problem of Systems of Nonlinear Impulsive Delay Parabolic Differential Equations

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：《空军工程大学学报（自然科学版）》2007年第5期91-94,共4页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(05JJ40008);2007年湖南省教育厅科研项目

摘　　要：考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组,利用Green公式、垂直相加法和脉冲时滞微分不等式,获得了该类方程组在Robin边值条件下所有解振动的充分判据.所得结果充分反映了脉冲和时滞在振动中的影响作用。A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered. By using Green＇s formula, vertical additive method and impulsive delay differential inequalities, sufficient criteria for oscillation of all solutions of such systems are obtained under Robin boundary condition. The results fully reflect the influence action of impulsive and delay in oscillation.

关 键 词：脉冲 时滞 抛物型偏微分方程组 振动性 非线性扩散系数 

分 类 号：O175.26[理学—数学]