| 关于时滞微分方程非负解的注记 |
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| 引用本文： | 徐士河,崔尚斌.关于时滞微分方程非负解的注记[J].中山大学学报(自然科学版),2008,47(4). |
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| 作者姓名： | 徐士河 崔尚斌 |
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| 作者单位： | 1. 中山大学数学与计算科学学院,广东,广州,510275;肇庆学院数学与信息科学学院,广东,肇庆,526061
2. 中山大学数学与计算科学学院,广东,广州,510275 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出了一类时滞微分方程解为正解的充分条件及其初值非负情况下解在有限时刻可能为负的一个充分条件。并给出一个例子说明时滞对方程解的非负性的影响。
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| 关 键 词： | 时滞微分方程 非负解 正解 |
| 收稿时间： | 2007-12-12; |
A Note on Nonnegativity of Solutions of Delay Differential Equations |
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| XU Shi he,CUI Shang bin.A Note on Nonnegativity of Solutions of Delay Differential Equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2008,47(4). |
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| Authors: | XU Shi he CUI Shang bin |
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| Institution: | (1.Department of Mathematics, Sun Yat sen University, Guangzhou 510275, China;2.Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong 526061,China) |
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| Abstract: | This paper gives some sufficient conditions which guarantee the solutions of some delay differential equations are positive and the condition under which the corresponding solution with nonnegative initial function possiblely become negative in a finite interval of time. An example which illustrates the influnce of the time delay to the nonnegativity of the solution is presented. |
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| Keywords: | delay differential equations nonnegativity positive solutions |
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