TY - JOUR A2 - Ji, Donghai AU - Sun, Baiqing AU - Tang, Kun AU - Zhang, Hongmei AU - Xiong, Shan PY - 2014 DA - 2014/04/09 TI - An Exact Solution of the Binary Singular Problem SP - 580497 VL - 2014 AB - 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. SN - 2314-8896 UR - https://doi.org/10.1155/2014/580497 DO - 10.1155/2014/580497 JF - Journal of Function Spaces PB - Hindawi Publishing Corporation KW - ER -