| 集值微分方程初值问题的拟线性化方法 |
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| 引用本文： | 王培光,高玮. 集值微分方程初值问题的拟线性化方法[J]. 河北大学学报(自然科学版), 2011, 31(1): 1-6 |
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| 作者姓名： | 王培光 高玮 |
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| 作者单位： | 1. 河北大学,电子信息工程学院,河北,保定,071002
2. 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金 |
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| 摘 要： | 利用拟线性化方法研究了一阶集值微分方程初值问题,构造了2个单调序列,获得了解的一致收敛性和平方收敛性结果.
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| 关 键 词： | 拟线性化 集值微分方程 平方收敛 |
Quasilinearization of an Initial Value Problem for Set Differential Equations |
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| WANG Pei-guang,GAO Wei. Quasilinearization of an Initial Value Problem for Set Differential Equations[J]. Journal of Hebei University (Natural Science Edition), 2011, 31(1): 1-6 |
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| Authors: | WANG Pei-guang GAO Wei |
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| Affiliation: | 1.College of Electronic and Information Engineering,Hebei University,Baoding 071002,China; 2.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | Investigating the initial value problem for set differential equations.By means of the method of quasilinearization,the two monotone sequences converge uniformly to the coupled unique solution are obtained.Meanwhile,quadratic convergence is proved. |
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| Keywords: | quasilinearization set differential equations quadratic convergence |
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