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On approximate solution for operator equations of Hammerstein type

✍ Scribed by Nguyen Buong

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
445 KB
Volume
75
Category
Article
ISSN
0377-0427

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✦ Synopsis

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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