集值微分方程初值问题的高阶收敛性

doi:10.3969/j.issn.1000-1565.2016.01.001

河北大学学报(自然科学版) ›› 2016, Vol. 36 ›› Issue (1): 1-6.DOI: 10.3969/j.issn.1000-1565.2016.01.001

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集值微分方程初值问题的高阶收敛性

王培光¹,刘会娜²

收稿日期:2015-11-17 出版日期:2016-01-25 发布日期:2016-01-25
作者简介:王培光(1963—),男,黑龙江哈尔滨人,河北大学教授,博士生导师,主要从事微分方程与控制理论的研究. E-mail:pgwang@hbu.edu.cn
基金资助:
国家自然科学基金资助项目(11271106);河北省自然科学基金资助项目(A2013201232)

Higher order convergence for set differential equations with initial conditions

WANG Peiguang¹,LIU Huina²

1.College of Electronic and Information Engineering, Hebei University, Baoding 071002, China; 2.College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2015-11-17 Online:2016-01-25 Published:2016-01-25

摘要/Abstract

摘要： 通过应用比较原理和拟线性方法,对所构造的单调迭代序列进行了分析,证明了其逼近解序列一致且高阶收敛于该问题的解,所得结论推广和改进了已有的研究成果.

关键词: 集值微分方程, 拟线性化方法, 高阶收敛

Abstract: By using the comparison principle and the method of quasilinearization,two monotone iterative sequences of approximate solutions which converge uniformly and higher order to the solution of the problem were obtained.The results generalize and improve the known ones.

Key words: set differential equations, quasilinearization, higher order convergence

中图分类号:

O175.12

王培光,刘会娜. 集值微分方程初值问题的高阶收敛性[J]. 河北大学学报(自然科学版), 2016, 36(1): 1-6.

WANG Peiguang,LIU Huina. Higher order convergence for set differential equations with initial conditions[J]. Journal of Hebei University (Natural Science Edition), 2016, 36(1): 1-6.

参考文献

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集值微分方程初值问题的高阶收敛性

Higher order convergence for set differential equations with initial conditions

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