On the existence of solutions of functional integral equation of Urysohn type

DOI10.1016/j.camwa.2008.09.031zbMath1186.45001OpenAlexW1997459189MaRDI QIDQ971673

Ibrahim Abouelfarag Ibrahim

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.031

zbMATH Keywords

measures of noncompactnesssuperposition operatorUrysohn integral operatorcompactness in measuredarbo fixed point theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Related Items

On existence and uniqueness of \(L_1\)-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem ⋮ Numerical analysis of a collocation method for functional integral equations ⋮ Application of Newton–Cotes quadrature rule for nonlinear Hammerstein integral equations ⋮ About a numerical method of successive interpolations for functional Hammerstein integral equations ⋮ The numerical method of successive interpolations for Fredholm functional integral equations ⋮ Uniform boundedness principle for nonlinear operators on cones of functions ⋮ Nonlinear Fredholm integral equations and majorant functions ⋮ Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations ⋮ An existence result for a class of nonlinear functional integral equations

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