Location of solutions of Fredholm-Nemytskii integral equations from a Whittaker-type operator

DOI10.1007/s00009-021-01944-wzbMath1486.45001OpenAlexW4210477105MaRDI QIDQ2078910

Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 4 March 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01944-w

zbMATH Keywords

global convergenceFredholm integral equationfixed point theoremWhittaker-type operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Picard and Adomian methods for quadratic integral equation
• On a class of nonlinear integral equations arising in neutron transport
• On an application of Newton's method to nonlinear operators with \(\omega\)-conditioned second derivative
• Domains of global convergence for Newton's method from auxiliary points
• Extending the applicability of the super-Halley-like method using \(\omega\)-continuous derivatives and restricted convergence domains
• Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations
• Convergence of approximate solution of system of Fredholm integral equations
• Generalized differentiability conditions for Newton's method
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Location of solutions of Fredholm-Nemytskii integral equations from a Whittaker-type operator