| 脉冲时滞抛物型方程组边值问题的振动性 |
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| 引用本文： | 邹敏,刘安平,何莲花,李艳玲.脉冲时滞抛物型方程组边值问题的振动性[J].黑龙江大学自然科学学报,2006,23(4):528-531. |
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| 作者姓名： | 邹敏 刘安平 何莲花 李艳玲 |
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| 作者单位： | 1. 中国地质大学(武汉)数理学院,湖北,武汉,430074
2. 中国地质大学(武汉)数理学院,湖北,武汉,430074;贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001 |
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| 基金项目： | 国家自然科学基金
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中国地质大学校科研和教改项目 |
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| 摘 要： | 讨论了一类多滞量带脉冲的抛物型方程组解的振动性质,利用平均值方法以及泛函不等式获得了其一切解在两类边界条件下振动的充分条件,其中利用了Green公式,Jesen不等式以及垂直相加的方法,把抛物型偏微分方程组的振动问题转化为微分脉冲不等式不存在最终正解的问题,然后在两类边界条件下分别得到了判别其所有解振动的充分条件.
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| 关 键 词： | 脉冲 时滞 抛物方程组 振动 |
| 文章编号： | 1001-7011(2006)04-0528-04 |
| 修稿时间： | 2005年12月15 |
Oscillation for boundary value problem of impulsive delay parabolic differential system |
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| ZOU Min,LIU An-ping,HE Lian-hua,LI Yan-ling.Oscillation for boundary value problem of impulsive delay parabolic differential system[J].Journal of Natural Science of Heilongjiang University,2006,23(4):528-531. |
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| Authors: | ZOU Min LIU An-ping HE Lian-hua LI Yan-ling |
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| Abstract: | The oscillation of solutions for an impulsive delay parabolic differential system is investigated.For two boundary value conditions,some sufficient conditions of oscillation of all solutions are obtained by using averaging method and functional inequality.By the Green's formula,Jesen inequality and vertical additive method,the oscillatory problem is reduced to which differential inequality has not eventually positive solution,and thereby sufficient conditions for oscillation of all solutions are respectively obtained under two boundary value conditions. |
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| Keywords: | impulsive delay parabolic differential system oscillation |
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