Open AccessSOLUTION OF A NONLINEAR OPERATOR EQUATION OF THE FIRST KIND WITH A CONTINUOUS POSITIVE LINEAR OPERATOR
Author(s) -
I.A. Usenov,
R.K. Usenova,
A. Nurkalieva
Publication year - 2021
Publication title -
vestnik kyrgyzskogo gosudarstvennogo universiteta stroitelʹstva, transporta i arhitektury im.n.isanova/n.isanov atyndagy kyrgyz mamlekettik kuruluš,transport žana arhitektura universitetinin žarčysy
Language(s) - English
Resource type - Journals
eISSN - 1694-8181
pISSN - 1694-5298
DOI - 10.35803/1694-5298.2021.1.118-123
Subject(s) - mathematics , mathematical analysis , operator (biology) , nonlinear system , hilbert space , multiplication operator , regularization (linguistics) , pseudo monotone operator , linear map , compact operator , weak operator topology , operator space , finite rank operator , banach space , physics , pure mathematics , quantum mechanics , computer science , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , extension (predicate logic) , gene , programming language
In the space H, a nonlinear operator equation of the first kind is studied, when the linear, nonlinear operator and the right-hand side of the equation are given approximately. Based on the method of Lavrent'ev M.M. an approximate solution of the equation in Hilbert space is constructed. The dependence of the regularization parameter on errors was selected. The rate of convergence of the approximate solution to the exact solution of the original equation is obtained.