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非线性脉冲中立型双曲方程的振动性
引用本文:苗秀花,马晴霞,刘安平.非线性脉冲中立型双曲方程的振动性[J].数学的实践与认识,2009,39(14).
作者姓名:苗秀花  马晴霞  刘安平
作者单位:中国地质大学,数学与物理学院,湖北,武汉,430074
基金项目:国家自然科学基金,中国地质大学优秀青年教师基金 
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.

关 键 词:非线性  时滞  脉冲  中立型  双曲方程  振动

Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type with Several Delays
MIAO Xiu-hua,MA Qing-xia,LIU An-ping.Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type with Several Delays[J].Mathematics in Practice and Theory,2009,39(14).
Authors:MIAO Xiu-hua  MA Qing-xia  LIU An-ping
Abstract: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.
Keywords:nonlinear  delay  impulsive  neutral  hyperbolic  oscillation
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