集值微分方程初值问题的高阶收敛性

王培光; 刘会娜

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

集值微分方程初值问题的高阶收敛性

王培光 ,
刘会娜

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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

收稿日期: 2015-11-17

网络出版日期: 2016-01-25

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)

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Higher order convergence for set differential equations with initial conditions

WANG Peiguang ,
LIU Huina

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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 date: 2015-11-17

Online published: 2016-01-25

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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

本文引用格式

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

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

参考文献

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