| 一类多滞量抛物型泛函微分方程解的振动性 |
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| 引用本文： | 冯春.一类多滞量抛物型泛函微分方程解的振动性[J].西南民族学院学报(自然科学版),2004,30(3):274-276. |
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| 作者姓名： | 冯春 |
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| 作者单位： | 重庆交通学院信息与计算科学研究所 重庆 |
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| 摘 要： | 利用Green公式，Jersen公式以及特征值理论，对一类多滞量抛物型泛函微分方程解的振动性进行了讨论，得到了其一切解振动的充分条件，表明了与普通抛物型偏微分方程质的差异。
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| 关 键 词： | 微分方程 泛函 时滞振动 |
| 文章编号： | 1003-2843(2004)03-0274-03 |
| 修稿时间： | 2004年3月10日 |
The oscillatory properties of solutions for parabolic partial differential equations with delay |
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| FENG Chun Institute of Information and Calculation Science,Chongqing JiaoTong Universety,Chongqing ,P.R.C..The oscillatory properties of solutions for parabolic partial differential equations with delay[J].Journal of Southwest Nationalities College(Natural Science Edition),2004,30(3):274-276. |
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| Authors: | FENG Chun Institute of Information and Calculation Science Chongqing JiaoTong Universety Chongqing PRC |
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| Institution: | FENG Chun Institute of Information and Calculation Science,Chongqing JiaoTong Universety,Chongqing 400074,P.R.C. |
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| Abstract: | In this paper, we investigate oscillatory properties of solutions of certain parabolic partial
differential equations and establish a series of sufficient conditions for oscillations of the equations. The
results fully indicate that the oscillations are caused by delay. This is one important conclusion and
hence, reveals the essential differences between the equations and those equations without delay. |
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| Keywords: | parabolic partial differential equation functional delay oscillation |
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