An existence result for a class of nonlinear functional integral equations

DOI10.1216/JIE-2015-27-2-199zbMath1323.47083MaRDI QIDQ746017

Khalid Latrach

Publication date: 15 October 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1441790286

zbMATH Keywords

measure of weak noncompactnessfixed point theoremfunctional integral equationintegrable solutionsthe Carathéodory conditions

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) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cone expansion and cone compression fixed point theorems for sum of two operators and their applications

Cites Work

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• On a perturbed functional integral equation of Urysohn type
• Schaefer type theorem and periodic solutions of evolution equations
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• Measures of weak noncompactness and nonlinear integral equations of convolution type
• A class of expansive-type Krasnosel'skii fixed point theorems
• On solutions of functional-integral equations of Urysohn type on an unbounded interval
• On the existence of solutions of functional integral equation of Urysohn type
• On existence of integrable solutions of a functional integral equation under Carathéodory conditions
• Integrable solutions of a nonlinear functional integral equation on an unbounded interval
• Integrable solutions of a functional-integral equation
• Solvability of Urysohn integral equation.
• Existence of integrable solutions of an integral equation of Hammerstein type on an unbounded interval
• Integral solution of a class of nonlinear integral equations
• A fixed-point theorem of Krasnoselskii
• Integrable solutions of hammerstein
• On integrable solutions of a nonlinear Volterra integral equation under Carathéodory conditions