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

Revista:
Applied Mathematics Letters

ISSN: 0893-9659

Any de publicació: 2018

Volum: 75

Pàgines: 50-58

Tipus: Article

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

Altres publicacions en: Applied Mathematics Letters

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Resum

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