带脉冲和时滞影响的非线性双曲型方程
振动性的新准则

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

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

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作者	单位
蒋明霞	(1.湖南大学软件学院, 湖南长沙410082 2.湖南工业职业技术学院商贸旅游系, 湖南长沙410208)

中文摘要: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.

中文关键词: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

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 condition.

keywords:oscillation criteria impulse delay hyperbolic partial differential equation nonlinear diffusion term

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