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Kurchatov-type methods for non-differentiable Hammerstein-type integral equations

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Main Authors: M.A., Hernández-Verón, Nisha, Yadav, Eulalia, Martínez
Format: Book
Language:English
Published: Springer 2023
Subjects:
Hammerstein-type integral equations
Online Access:https://link.springer.com/article/10.1007/s11075-022-01406-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8323
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spelling oai:localhost:PNK-83232023-04-26T03:47:58Z Kurchatov-type methods for non-differentiable Hammerstein-type integral equations M.A., Hernández-Verón Nisha, Yadav Eulalia, Martínez Hammerstein-type integral equations CC BY We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii type. So, in order to solve it we consider a uniparametric family of iterative processes derivative free, with the main advantage that for a special value of the involved parameter the iterative method obtained coincides with Newton’s method, that is due to the fact of evaluating the divided difference operator when the two values are the same. We perform a qualitative convergence study by choosing an auxiliary point, that allow us to obtain the existence and separation of solutions of the given equation, that is, local and semilocal convergence balls can be obtained. 2023-04-26T03:47:58Z 2023-04-26T03:47:58Z 2022 Book https://link.springer.com/article/10.1007/s11075-022-01406-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8323 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Hammerstein-type integral equations
spellingShingle Hammerstein-type integral equations
M.A., Hernández-Verón
Nisha, Yadav
Eulalia, Martínez
Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
description CC BY
format Book
author M.A., Hernández-Verón
Nisha, Yadav
Eulalia, Martínez
author_facet M.A., Hernández-Verón
Nisha, Yadav
Eulalia, Martínez
author_sort M.A., Hernández-Verón
title Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
title_short Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
title_full Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
title_fullStr Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
title_full_unstemmed Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
title_sort kurchatov-type methods for non-differentiable hammerstein-type integral equations
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11075-022-01406-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8323
_version_ 1764268034144337920
score 8.889492

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