Existence and Numerical Solutions of Nonlinear Quadratic Integral Equations Defined on Unbounded Intervals

DOI10.1080/01630563.2010.493191zbMath1203.65286OpenAlexW2002533631MaRDI QIDQ3590039

Adel Jawahdou, Abderrazek Karoui, Hichem Ben Aouicha

Publication date: 17 September 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.493191

zbMATH Keywords

numerical examplesSchauder's fixed-point theoremmeasure of non compactnessnonlinear quadratic integral equationsDarbo's fixed-point theorem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cites Work

• Solutions of some functional-integral equations in Banach algebra
• On the existence of continuous solutions of nonlinear integral equations
• On solutions of a quadratic integral equation of Hammerstein type
• A survey of the theory of spectral operators
• Integral equations arising in the kinetic theory of gases
• Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
• Volterra integral and differential equations
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