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Journal of Function Spaces - Volume 2014 2014, Article ID 580497, 8 pages -

Research ArticleSchool of Management, Harbin Institute of Technology, 150001 Harbin, China

Received 11 November 2013; Accepted 21 January 2014; Published 9 April 2014

Academic Editor: Donghai Ji

Copyright © 2014 Baiqing Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular problem are given in the reproducing kernel space and studied, also for a class of singular problem. For the binary equation of singular points, I put it into the singular problem first, and then reuse some excellent properties which are applied to solve the method of solving differential equations for its exact solution expression of binary singular integral equation in reproducing kernel space, and then obtain its approximate solution through the evaluation of exact solutions. Numerical examples will show the effectiveness of this method.

Author: Baiqing Sun, Kun Tang, Hongmei Zhang, and Shan Xiong



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