| 二次型CSTR模型和SG模型的恒稳定解的degree |
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| 引用本文： | 廉进国,孙炯.二次型CSTR模型和SG模型的恒稳定解的degree[J].内蒙古大学学报(自然科学版),2006,37(5):503-507. |
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| 作者姓名： | 廉进国 孙炯 |
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| 作者单位： | 1. 华北电力大学应用数学系,河北,保定,071003
2. 内蒙古大学数学系,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金;华北电力大学校科研和教改项目 |
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| 摘 要： | 研究了两个非线性常微分方程系统二次型CSTR模型和SG模型.证明了这两个模型分别存在一个严格的正不变区域且它们在各自的正不变区域内只有一个恒稳定解,这个恒稳定解的Degree是1.这为研究推广的二次型CSTR模型和SG模型解的存在性奠定了基础.
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| 关 键 词： | 二次型CSTR模型 SG模型 degree理论 恒稳定解 |
| 文章编号： | 1000-1638(2006)05-0503-05 |
| 收稿时间： | 2005-12-01 |
| 修稿时间： | 2006-04-20 |
Degree of Steady-state Solutions of Quadratic CSTR Model and SG Model |
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| LIAN Jin-guo,SUN Jiong.Degree of Steady-state Solutions of Quadratic CSTR Model and SG Model[J].Acta Scientiarum Naturalium Universitatis Neimongol,2006,37(5):503-507. |
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| Authors: | LIAN Jin-guo SUN Jiong |
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| Institution: | 1. Department of Applied Mathematics, North China Electric Power University, Baoding 071003, China; 2. Department of Mathematics, Inner Mongolia University, Hohhot 010021, China |
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| Abstract: | Two systems of nonlinear ordinary differential equations are studied,which are quadratic CSTR model and SG model.Strictly positive invariant regions are found for these models.It is shown that for each model,there exists only one steady-state solution in invariant region and its degree equals 1.These establish a foundation for studying the patterns of the extended quadratic CSTR model and SG model. |
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| Keywords: | quadratic CSTR model SG model degree theory steady-state solution |
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