| 一类耦合型反应扩散系统非负平衡解的存在性 |
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| 引用本文： | 姜洪领,王利娟,李海侠,郑秋红.一类耦合型反应扩散系统非负平衡解的存在性[J].宝鸡文理学院学报(自然科学版),2006,26(4):252-255. |
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| 作者姓名： | 姜洪领 王利娟 李海侠 郑秋红 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721007;陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 目的研究一类耦合型反应扩散系统非负平衡解的存在性。方法运用上下解方法,极值原理和Schauder不动点定理进行研究。结果给出了半平凡解,严格正确的存在的充分条件。结论适当控制扩散状态,系统存在平衡解。
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| 关 键 词： | 耦合 平衡态 共存 |
| 文章编号： | 1007-1261（2006）04-0252-04 |
| 收稿时间： | 2005-11-18 |
| 修稿时间： | 2006-10-11 |
Existence of nonnegative steady-state solution for a class of coupled reaction-diffusion system |
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| JIANG Hong-ling,WANG Li-juan,LI Hai-xia,ZHENG Qiu-hong.Existence of nonnegative steady-state solution for a class of coupled reaction-diffusion system[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2006,26(4):252-255. |
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| Authors: | JIANG Hong-ling WANG Li-juan LI Hai-xia ZHENG Qiu-hong |
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| Abstract: | Aim The existence of nonnegative steady-state solutions was investigated for a class of coupled reaction-diffusion systems.Methods The lower-upper solutions methods,maximum principles and Schauder fixed point theories were used.Results The surfficient conditions for semitrivial solutions and strictly positive solutions were given.Conclusions Positive steady-state solutions exist when the diffusion coefficients are cotrolled appropriately. |
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| Keywords: | coupled-systems steady-state coexistence |
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