On approximate solution for operator equations of Hammerstein type |
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| Affiliation: | National Centre for Natural Sciences and Technology of Viet Nam, Institute of Information Technology, Nghia do, Tu liem, Ha noi 10000, VietNam |
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| Abstract: | The aim of this paper is to investigate a method of approximating a solution of the operator equation of Hammerstein type x + KF(x) = f by solutions of similar finite-dimensional problems which contain operators better than K and F. Conditions of convergence and convergence rate are given and an iteration method to solve the approximative equation is proposed and applied to a concrete example. |
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