Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11075-022-01406-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8323 |
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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 |
8.8926115 |