On a method for solving a two-dimensional nonlinear integral equation of the second kind

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摘要

In this article, the existence of at least one solution of a nonlinear integral equation of the second kind is proved. The degenerate method is used to obtain a nonlinear algebraic system, where the existence of at least one solution of this system is discussed. Finally, computational results with error estimates are obtained using Maple software.

论文关键词：45B05,45E10,65R,Nonlinear integral equation (NIE),Degenerate method (DM),Nonlinear algebraic system (NAS)

论文评审过程：Received 10 February 2010, Revised 3 February 2011, Available online 24 February 2011.

论文官网地址：https://doi.org/10.1016/j.cam.2011.02.016