非线性脉冲中立型抛物方程振动性的新准则

doi:10.3981/j.issn.1000-7857.2011.22.009

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摘要考虑一类具高阶Laplace算子的非线性脉冲中立型抛物微分方程的振动性,利用一阶脉冲中立型微分不等式,建立了该类方程在Robin边值条件下所有解振动的若干新的充分条件。所得结果推广和包含了已有的相应结论。

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关键词 ：脉冲, 非线性中立型, 抛物微分方程, 振动准则, 高阶Laplace算子

Abstract：The oscillation of a class of nonlinear impulsive neutral parabolic differential equations with higher order Laplace operators is considered. By using the first order impulsive delay differential inequalities, some new sufficient conditions for oscillation of all solutions of the equations are established under the Robin boundary value condition. The results in this paper have generalized some existing conclusions.

Key words： impulse nonlinear neutral type parabolic differential equation oscillation criteria higher order Laplace operator

收稿日期: 2011-04-06

ZTFLH:

O175.26

引用本文:

李元旦;高正晖;彭白玉. 非线性脉冲中立型抛物方程振动性的新准则[J]. , 2011, 29(22): 61-63.
LI Yuandan;GAO Zhenghui;PENG Baiyu. New Criteria for Oscillation of Nonlinear Impulsive Neutral Parabolic Equations. , 2011, 29(22): 61-63.

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http://www.kjdb.org/CN/10.3981/j.issn.1000-7857.2011.22.009 或 http://www.kjdb.org/CN/Y2011/V29/I22/61