| THEORY OF SINGULAR POINTS OF ORDINARY DIFFERENTIAL EQUATIONS IN COMPLEX DOMAIN |
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| 引用本文： | 秦元勋,赵怀忠. THEORY OF SINGULAR POINTS OF ORDINARY DIFFERENTIAL EQUATIONS IN COMPLEX DOMAIN[J]. 应用数学学报(英文版), 1992, 8(4): 298-317. DOI: 10.1007/BF02006739 |
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| 作者姓名： | 秦元勋 赵怀忠 |
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| 作者单位： | Institute of Applied Mathematics，Academia Sinica，Beijing 100080，China Department of Mathematics.University of Florida，Institute of Applied Mathematics，Academia Sinica，Beijing 100080，China |
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| 基金项目： | This project is supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper, the topological of integral surfaces near certain of Lyapunov type singularpoints and certain type of nodes of ordinary differential equations in complex domain are studied.We introduce Briot-Bouquet transformation, in order to study the topological structure of integralsurfaces near higher order singular points. At last we give an estimate of the makimum numberof isolated limit integral surfaces passing through certain type of higher order singular points.
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Theory of singular points of ordinary differential equations in complex domain |
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| Yuanxun Qin,Huaizhong Zhao. Theory of singular points of ordinary differential equations in complex domain[J]. Acta Mathematicae Applicatae Sinica, 1992, 8(4): 298-317. DOI: 10.1007/BF02006739 |
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| Authors: | Yuanxun Qin Huaizhong Zhao |
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| Affiliation: | 1. Institute of Applied Mathematics, Academia Sinica, 100080, Beijing, China
2. the Department of Mathematics, University of Florida, USA
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| Abstract: | In this paper, the topological of integral surfaces near certain of Lyapunov type singular points and certain type of nodes of ordinary differential equations in complex domain are studied. We introduce Briot-Bouquet transformation, in order to study the topological structure of integral surfaces near higher order singular points. At last we give an estimate of the maximum number of isolated limit integral surfaces passing through certain type of higher order singular points. |
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