非线性脉冲中立型双曲方程的振动性  

Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type with Several Delays

作　　者：苗秀花[1] 马晴霞[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

出　　处：《数学的实践与认识》2009年第14期250-254,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(50579089);中国地质大学优秀青年教师基金(CUGQNL0841)

摘　　要：讨论非线性时滞脉冲中立型双曲方程的振动性质,利用平均值方法以及泛函微分不等式获得了该类方程在一类非线性边值条件下所有解振动的充分判据.结果表明,振动是由滞量和脉冲引起的.Oscillatory properties of solutions for certain nonlinear impulsive hyperbolic equations with several delays under a boundary condition are investigated, several sufficient criteria are established. The results extend the oscillatory properties of impulsive differential equations to impulsive partial differential equations with several delays. They also reflect the influence action of impulses and delays in oscillation.

关 键 词：非线性 时滞 脉冲 中立型 双曲方程 振动 

分 类 号：O175.27[理学—数学]