Journal of Hebei University(Natural Science Edition) >

2016 , Vol. 36 >Issue 1: 1 - 6

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

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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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

Cite this article

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

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