Restricted global convergence domains for integral equations of the Fredholm-Hammerstein type

DOI10.1007/978-3-030-65509-9_5zbMath1470.65213OpenAlexW3137997701MaRDI QIDQ2232054

José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publication date: 4 October 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-65509-9_5

zbMATH Keywords

global convergenceFredholm integral equationNewton's methodfixed point theoremconvergence ball

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Numerical solutions to equations with nonlinear operators (65J15) Fredholm integral equations (45B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method
• New approach for numerical solution of Hammerstein integral equations
• On a class of nonlinear integral equations arising in neutron transport
• On the Newton-Kantorovich hypothesis for solving equations
• Solution of multi-dimensional Fredholm equations using Legendre scaling functions
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Mild Differentiability Conditions for Newton's Method in Banach Spaces
• Spectral Methods in Chemistry and Physics
• Newton’s Method: an Updated Approach of Kantorovich’s Theory
• Numerical Solvability of Hammerstein Integral Equations of Mixed Type

This page was built for publication: Restricted global convergence domains for integral equations of the Fredholm-Hammerstein type