The majorant principle applied to Hammerstein integral equations

  1. Ezquerro, J.A. 1
  2. Hernández-Verón, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Applied Mathematics Letters

ISSN: 0893-9659

Année de publication: 2018

Volumen: 75

Pages: 50-58

Type: Article

DOI: 10.1016/J.AML.2017.06.017 SCOPUS: 2-s2.0-85025088289 WoS: WOS:000412964100009 GOOGLE SCHOLAR

D'autres publications dans: Applied Mathematics Letters

Projets liés

Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

2015/00069/001

Résumé

We use the majorant principle of Kantorovich to analyze the semilocal convergence of Newton's method when it is applied to some Hammerstein integral equations. Moreover, from using the theoretical significance of the result obtained, we draw conclusions about the existence and uniqueness of solution of the equations. Furthermore, a solution of a Hammerstein integral equation with non-separable kernel is approximated. © 2017 Elsevier Ltd