The majorant principle applied to Hammerstein integral equations
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Universidad de La Rioja
info
ISSN: 0893-9659
Argitalpen urtea: 2018
Alea: 75
Orrialdeak: 50-58
Mota: Artikulua
Beste argitalpen batzuk: Applied Mathematics Letters
Lotura duten proiektuak
Laburpena
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