| 非自治扩散系统的强单调性 |
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| 引用本文： | 邱志鹏,俞军. 非自治扩散系统的强单调性[J]. 南京理工大学学报(自然科学版), 2003, 27(4): 414-417 |
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| 作者姓名： | 邱志鹏 俞军 |
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| 作者单位： | 南京理工大学理学院,南京,210094 |
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| 摘 要： | 单调系统理论在微分方程中具有重要的理论意义和应用价值。针对由反应扩散微分方程所描述的非自治非线性系统，该文主要研究了该非自治非线性系统的强单调性质。在系统的单调性和解存在惟一的条件下，该文利用反应扩散方程组的比较原理和矩阵的不可约性质，得到了该系统的解所具有的强单调性的充分条件，推广了以前相应的结果。
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| 关 键 词： | 扩散方程 微分方程 单调 |
| 修稿时间： | 2002-06-18 |
Monotone Property of Time-dependency and Diffusion Systems |
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| QiuZhipeng YuJun. Monotone Property of Time-dependency and Diffusion Systems[J]. Journal of Nanjing University of Science and Technology(Nature Science), 2003, 27(4): 414-417 |
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| Authors: | QiuZhipeng YuJun |
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| Abstract: | Monotone theory is valuable in differential equations both theoretically and practically. The monotone property of the timedependency systems is studied, a nd described by reactiondiffusion differential equations. U nder the conditions of monotonity, and the existence and uniqueness of the solut ion, sufficient conditions for the strong monotone property of the solution to t he systems are obtained via the comparison theory of reactiondiffusion systems and the irreducibility of matrix. Some earlier results are improved and extended . |
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| Keywords: | diffusion equations differential equations monot one |
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