| 运用同伦连续法求解二阶时标边值问题 |
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| 引用本文： | 卢秀双,常小军. 运用同伦连续法求解二阶时标边值问题[J]. 吉林大学学报(理学版), 2010, 48(6): 949-950 |
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| 作者姓名： | 卢秀双 常小军 |
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| 作者单位： | 1. 吉林大学 数学学院, 长春 130012,2. 南开大学 陈省身数学研究所, 天津 300071 |
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| 摘 要： | 用同伦连续法证明了时标动力学边值问题的连续性定理,并给出了寻找解的全局收敛方法.
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| 关 键 词： | 连续性定理 同伦映射 动力学方程 时标 |
| 收稿时间： | 2010-09-17 |
Continuation Theorems for Boundary Value Problems of Second-Order Dynamic Equations on Time Scales |
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| LU Xiu-shuang,CHANG Xiao-jun. Continuation Theorems for Boundary Value Problems of Second-Order Dynamic Equations on Time Scales[J]. Journal of Jilin University: Sci Ed, 2010, 48(6): 949-950 |
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| Authors: | LU Xiu-shuang CHANG Xiao-jun |
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| Affiliation: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Chern Institute of Mathematics, Nankai University, Tianjin 300071, China |
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| Abstract: | A continuation theorem for boundary valule problems of dynamic equations on time scales was established. We gave constructive proofs via the homotopy method, thereby leading to a global convergent methodof finding solutions. |
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| Keywords: | continuation theorem homotopy map dynamic equation time scale |
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