On the existence of solutions of nonlinear Fredholm integral equations from Kantorovich's technique
The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton's method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and uniqueness of a solution for these equat...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6957b750603269e81968 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6957b750603269e81968 |
| Access Level: | acceso abierto |
| Palabra clave: | Convergence Domain of existence of a solution Domain of uniqueness of a solution Fredholm integral equation Kantorovich's technique Newton's method |
| Sumario: | The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton's method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and uniqueness of a solution for these equations. Finally, we illustrate the above with two particular Fredholm integral equations. © 2017 by the authors. |
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