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A large-range convergence iterative method for solving a nonlinear functional equation

MU Li-hua SHEN Ji-hong DU Hong

哈尔滨工业大学学报(英文版)2008,Vol.15Issue(5):631-634,4.
哈尔滨工业大学学报(英文版)2008,Vol.15Issue(5):631-634,4.

A large-range convergence iterative method for solving a nonlinear functional equation

A large-range convergence iterative method for solving a nonlinear functional equation

MU Li-hua 1SHEN Ji-hong 2DU Hong1

作者信息

  • 1. Dept.of Mathematics,Harbin Engineefing University,Harbin 150001,China
  • 2. Dept.of Mathematics and Mechanics,Heilongjiang Institute of Science and Technology,Harbin 150027,China
  • 折叠

摘要

Abstract

The existence and representation of the exact solution are given for a nonlinear functiohal equation in the reproducing kernel space.For a numerical computation,we present a large-range convergence iterative method for solving the nonlinear functional equation.In the iterative method,the convergent condition is simple and the convergence is irrespective to the choice of the initial function.It is worthy to note that the presented method can be generalized to solve other nonlinear operator equations.

关键词

nonlinear functional equation/nonlinear Voherra integral equation/reproducing kernel

Key words

nonlinear functional equation/nonlinear Voherra integral equation/reproducing kernel

分类

信息技术与安全科学

引用本文复制引用

MU Li-hua,SHEN Ji-hong,DU Hong..A large-range convergence iterative method for solving a nonlinear functional equation[J].哈尔滨工业大学学报(英文版),2008,15(5):631-634,4.

基金项目

Sponsored by the Education Department Science and Technology Foundation of Heilongjiang Province(Grant No.11531324). (Grant No.11531324)

哈尔滨工业大学学报(英文版)

1005-9113

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