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带脉冲和时滞影响的非线性双曲型方程振动性的新准则
引用本文:蒋明霞.带脉冲和时滞影响的非线性双曲型方程振动性的新准则[J].经济数学,2011(4):20-23.
作者姓名:蒋明霞
作者单位:湖南大学软件学院;湖南工业职业技术学院商贸旅游系
摘    要:考虑一类具非线性扩散项的脉冲时滞双曲型偏微分方程的振动性,借助一阶脉冲时滞微分不等式,获得了该类方程在Dirichlet边值条件下所有解振动的若干充分判据.

关 键 词:振动准则  脉冲  时滞  双曲型偏微分方程  非线性扩散项

New Criteria for Oscillation of Nonlinear Hyperbolic Equations with Influence of Impulse and Delay
JIANG Ming-xia.New Criteria for Oscillation of Nonlinear Hyperbolic Equations with Influence of Impulse and Delay[J].Mathematics in Economics,2011(4):20-23.
Authors:JIANG Ming-xia
Institution:JIANG Ming-xia1,2 (1.Software School of Hunan University,Changsha,Hunan 410082,China;2.Department of Commerce and Tourism,Hunan Indusraial Vocational Technology College,Changsha,Hunan 410208,China)
Abstract:The oscillatory properties of a class of impulsive delay hyperbolic partial differential equations with nonlinear diffusion term were considered. By employing first order impulsive delay differential inequalities, some sufficient criteria for the oscillation of all solutions of the equations were obtained under Dirichlet boundary value conditionl
Keywords:oscillation criteria  impulse  delay  hyperbolic partial differential equation  nonlinear diffusion term
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