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| 一类非线性脉冲中立型时滞抛物方程组的振动准则 | |
| 引用本文： | 罗李平,欧阳自根. 一类非线性脉冲中立型时滞抛物方程组的振动准则[J]. 工程数学学报, 2007, 24(4): 639-644 |
| 作者姓名： | 罗李平 欧阳自根 |
| 作者单位： | 衡阳师范学院数学系,衡阳,421008;南华大学数学系,衡阳,421001 |
| 基金项目： | 国家自然科学基金(10471086)，湖南省自然科学基金(05JJ40008) |
| 摘 要： | 本文研究一类非线性脉冲中立型时滞抛物方程组的振动性,利用一阶脉冲中立型微分不等式,获得了该类方程组在两类不同边界条件下所有解振动的若干充分条件。所得结果充分反映了脉冲和时滞在振动中的影响作用。 |
| 关 键 词： | 脉冲 非线性中立型 时滞 抛物型方程组 振动性 |
| 文章编号： | 1005-3085（2007）04-0639-06 |
| 修稿时间： | 2005-08-15 |
Oscillation Criteria for Systems of a Class of Nonlinear Impulsive Neutral Delay Parabolic Equations |
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| LUO Li-ping,OUYANG Zi-gen. Oscillation Criteria for Systems of a Class of Nonlinear Impulsive Neutral Delay Parabolic Equations[J]. Chinese Journal of Engineering Mathematics, 2007, 24(4): 639-644 | |
| Authors: | LUO Li-ping OUYANG Zi-gen |
| Affiliation: | 1. Department of Mathematics, Hengyang Normal University, Hengyang 421008; 2. Department of Mathematics, Nanhua University, Hengyang 421001 |
| Abstract: | This paper studies the oscillation of solutions of the systems of a class of nonlinear impulsive neutral delay parabolic equations. By using first order impulsive neutral delay differential inequalities, some sufficient conditions for the oscillation of such systems are obtained under two kinds of boundary value conditions. These results fully reflect the influence of impulsive and delay in oscillation. |
| Keywords: | impulsive nonlinear neutral type delay system of parabolic equations oscillation |
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