| 多值微分系统及动态规划中的泛函方程的可解性 |
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| 引用本文： | 洪世煌.多值微分系统及动态规划中的泛函方程的可解性[J].数学学报,2004,47(3):479-486. |
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| 作者姓名： | 洪世煌 |
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| 作者单位： | 海南大学信息学院应用数学系,海口,570228 |
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| 基金项目： | 海南省自然科学基金(10102)，海南省教育厅资助 |
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| 摘 要： | 本文利用不动点定理获得了完备距离空间中多值微分方程的非线性过值问题的解的存在性定理,同时给出了动态规划中的一类泛函方程的解存在性的充分条件。
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| 关 键 词： | 偏序 不动点 多值微分系统 |
| 文章编号： | 0583-1431(2004)03-0479-08 |
On the Solvability of Multivalued Differential Systems and Functional Equations in Dynamic Programming |
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| Shi Huang HONG.On the Solvability of Multivalued Differential Systems and Functional Equations in Dynamic Programming[J].Acta Mathematica Sinica,2004,47(3):479-486. |
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| Authors: | Shi Huang HONG |
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| Institution: | Shi Huang HONG Department of Applied Mathematics, Hainan University, Haikou 570228, P. R. China |
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| Abstract: | In this paper, the aim is to give sufficient conditions for the existence of
solutions to nonlinear boundary value problems of multivalued differential equations in
complete metric spaces and to a class of functional equations arising in dynamic pro-
gramming. By using fixed point theorems, our results lead to new existence principles. |
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| Keywords: | Partial ordering Fixed point Multivalued differential system |
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