Journal of Hebei University(Natural Science Edition) >

2018 , Vol. 38 >Issue 5: 449 - 453

DOI: https://doi.org/10.3969/j.issn.1000-1565.2018.05.001

Further result on convergence for a class of nonlinear integro-differential equations with initial value problems

  • WANG Peiguang ,
  • YANG Kaiyu ,
  • QIN Junhong
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  • College of Mathematics and Information Science, Hebei University, Baoding 071002

Received date: 2018-02-23

  Online published: 2018-09-25

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Abstract

A class of nonlinear integro-differential equations with initial value problems is investigated. By using the comparison principle and the method of quasilinearization, we obtain monotone iterative sequences of approximate solutions converging to the extremal solution with rate of order k(k≥2). The result extends the known one in the literature.

Key words： integro-differential equations; monotone iterative; quasilinearization; rapid convergence

Cite this article

WANG Peiguang , YANG Kaiyu , QIN Junhong . Further result on convergence for a class of nonlinear integro-differential equations with initial value problems[J]. Journal of Hebei University(Natural Science Edition), 2018 , 38(5) : 449 -453 . DOI: 10.3969/j.issn.1000-1565.2018.05.001

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