具连续分布滞量的脉冲抛物型方程的振动性质  

Oscillation of Impulsive Parabolic Equations with Several Continuous Distributed Deviating Arguments

作　　者：马晴霞[1] 汪小梅[2] 汤庆[1] 刘安平[1] 

机构地区：[1]中国地质大学数学与物理学院,湖北武汉430074 [2]军事经济学院数学室,湖北武汉430035

出　　处：《徐州师范大学学报（自然科学版）》2008年第2期59-61,106,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(5057908940774062);湖北省自然科学基金资助项目(B200704001);中国地质大学优秀青年教师基金资助项目(第五批)(CUGQNL0841)

摘　　要：讨论一类具连续分布滞量的非线性脉冲抛物型方程的振动性质,利用平均值方法及泛函微分不等式获得了该类方程在Robin,Dirichlet边值条件下所有解振动的若干充分判据.所得结果充分表明:振动是由滞量和脉冲引起的.In this paper,the oscillatory properties of solutions for certain nonlinear impulsive parabolic equations with several continuous delays under the Robin boundary condition and the Dirichlet boundary condition are investigated,and several sufficient criteria are established.The results extend the oscillatory properties of impulsive partial differential equations with continuous delays.They also reflect the influence of impulses and delays in oscillation.

关 键 词：连续分布滞量 脉冲 抛物方程 振动 

分 类 号：O175[理学—数学]