| 含扩散和时滞的偏微分方程解的振动性 |
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| 引用本文： | 王长有.含扩散和时滞的偏微分方程解的振动性[J].生物数学学报,2006,21(1):77-80. |
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| 作者姓名： | 王长有 |
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| 作者单位： | 重庆邮电大学,应用数学研究所,重庆,400065 |
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| 基金项目： | 重庆邮电大学青年教师科技基金项目(A2005-14)，四川省学术与技术带头人基金资助项目(1200321) |
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| 摘 要： | 研究一类含扩散和时滞的偏微分方程解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的非负性和关于正平衡态振动的充分条件．
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| 关 键 词： | 时滞 扩散 上、下解 偏微分方程 振动性 |
| 文章编号： | 1001-9626（2006）01-0077-04 |
| 收稿时间： | 2004-03-21 |
| 修稿时间： | 2004年3月21日 |
Oscillation in a Partial Differential Equation with Diffusion and Delay |
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| WANG Chang-you.Oscillation in a Partial Differential Equation with Diffusion and Delay[J].Journal of Biomathematics,2006,21(1):77-80. |
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| Authors: | WANG Chang-you |
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| Institution: | Institute of Applied Mathematics, Chongqing University of Post and Telecommunication, Chongqing 400065 China |
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| Abstract: | By using upper- and lower-solution method of partial functional differential equations and oscillation theory of functional differential equation, the oscillation of a partial differential equation with diffusion and delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained. |
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| Keywords: | Delay Diffusion Upper- and lower- solution Population equation Oscillation |
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