Nonlinear Fredholm integral equations and majorant functions

DOI10.1007/s11075-019-00656-3zbMath1432.45004OpenAlexW2909474457MaRDI QIDQ2009056

Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 27 November 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00656-3

zbMATH Keywords

error estimatesFredholm integral equationNewton's methodmajorant functiondomain of existence of solutiondomain of uniqueness of solution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items

Numerical solutions for nonlinear Volterra-Fredholm integral equations of the second kind with a phase lag ⋮ Kurchatov-type methods for non-differentiable Hammerstein-type integral equations ⋮ Solving nonlinear integral equations with non-separable kernel via a high-order iterative process ⋮ Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations ⋮ A reliable treatment to solve nonlinear Fredholm integral equations with non-separable kernel

Cites Work

• A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
• Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method
• New approach for numerical solution of Hammerstein integral equations
• On the existence of solutions of functional integral equation of Urysohn type
• Picard iterations for solution of nonlinear equations in certain Banach spaces
• The Kantorovich theorem and interior point methods
• Numerical methods for solving Fredholm integral equations of second kind
• Computation of Spectral Subspaces for Weakly Singular Integral Operators
• A Superquadratic Variant of Newton's Method
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Newton’s Method: an Updated Approach of Kantorovich’s Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item