On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane
type: Item
instance of: scholarly article
title: On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane
zbMATH Open document ID: 1502.45004
DOI: 10.1155/2022/5482688
author: Yanyan Li
published in: International Journal of Differential Equations
publication date: 2022-11-02T00:00:00Z
review text: The authors study the solutions of the Hammerstein and the Hammerstein-Volterra integral equations under certain hypotheses in the space of functions of bounded variation in the plane \(\Lambda_pBV(I_a^b,\mathbb{R})\), \(p\geq 1\).
reviewed by: Mohamed Abdalla Darwish
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 7610787
zbMATH Keywords: nonlinear integral equations
zbMATH Keywords: Hammerstein-Volterra equation
zbMATH Keywords: bounded variation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/5482688
OpenAlex ID: W4281637905
cites work: On BV-solutions of some nonlinear integral equations
cites work: On nonlinear integral equations and \(\Lambda\)-bounded variation
cites work: Nonlinear Hammerstein equations and functions of bounded Riesz-Medvedev variation
cites work: Bounded Variation and Around
cites work: On the superposition operator in the space of functions of bounded variation, revisited
cites work: A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation
cites work: On nonlinear integral equations in the space of functions of bounded generalized \(\varphi\)-variation
cites work: On integral operators and nonlinear integral equations in the spaces of functions of bounded variation
cites work: On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation
cites work: On some nonlinear operators in \(\Lambda BV\)-spaces
cites work: Solvability of Hammerstein integral equations with applications to boundary value problems
cites work: Integral representation of functions of bounded variation
cites work: On a Type of Volterra Integral Equation in the Space of Continuous Functions with Bounded Variation valued in Banach Spaces
cites work: On solutions of the Volterra equation in the space of functions of bounded variation
cites work: Q5253116
cites work: Numerical solutions of nonlinear 3‐dimensional Volterra integral‐differential equations with 3D‐block‐pulse functions
cites work: Adomian's method for Hammerstein integral equations arising from chemical reactor theory
cites work: Q4578126
cites work: Q5252078
description: scientific article; zbMATH DE number 7610787