基于脉冲和时滞影响的非线性双曲型方程的振动准则  

Oscillation Criteria for Nonlinear Hyperbolic Equations Based on Influence of Impulse and Delay

作　　者：肖娟[1] 蔡江涛[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《生物数学学报》2013年第3期440-446,共7页Journal of Biomathematics

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"规划重点学科"运筹学与控制论"项目资助(湘教发[2011]76号)

摘　　要：研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏微分方程的振动性,利用特征函数法和一阶脉冲时滞微分不等式,获得了该类方程在Robin边值条件下所有解振动的若干充分性判据,所得结果推广和包含了最新文献中的结果.Oscillatory properties of a class of nonlinear impulsive delay hyperbolic partial differential equations with higher order Laplace operator is studied.By using the eigenvalue function method and first order impulsive delay differential inequalities,some sufficient criteria for the oscillation of all solutions of the equations are obtained under Robin boundary value condition.The results generalize and include some results of the latest literature.

关 键 词：脉冲 非线性 时滞 双曲型偏微分方程 振动性 高阶LAPLACE算子 

分 类 号：O175.27[理学—数学]