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| 饱和Activator-Inhibitor模型柯西问题的整体解 | |
| 引用本文： | 吴建华. 饱和Activator-Inhibitor模型柯西问题的整体解[J]. 系统科学与数学, 1998, 18(4): 417-421 |
| 作者姓名： | 吴建华 |
| 作者单位： | 陕西师范大学数学系!西安，710062，陕西师范大学数学系!西安，710062 |
| 基金项目： | 国家自然科学基金，陕西省自然科学基金 |
| 摘 要： | 本文首先证明了饱和Activator－Inhibitor模型柯西问题整体解的存在性，其次考虑到Activator对源密度的反馈效应，又证明了具有反馈的上述模型整体解的存在性． |
| 关 键 词： | Activator－Inhibitor模型 柯西问题 整体解 比较定理 |
GLOBAL EXISTENCE OF CAUCHY PROBLEM FOR THE ACTIVATOR-INHIBITOR MODEL WITH SATURATION |
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| Wu Jianhua,Li Yanling. GLOBAL EXISTENCE OF CAUCHY PROBLEM FOR THE ACTIVATOR-INHIBITOR MODEL WITH SATURATION[J]. Journal of Systems Science and Mathematical Sciences, 1998, 18(4): 417-421 | |
| Authors: | Wu Jianhua Li Yanling |
| Affiliation: | (Department of Mathematics, Shaanxi Normal University, Xi'an 710062) |
| Abstract: | In this paper, the global existence is first proved for Cauchy problem of the Activator-Inhibitor model with saturation, then the feedback of the activator to source density is considered, and the global existence is also proved for the above model with feedback. |
| Keywords: | Activator-Inhibitor model Cauchy problem global solutions comparison theorem. |
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