Monotonic positive solution of a nonlinear quadratic functional integral equation

DOI10.1016/j.amc.2010.03.099zbMath1206.45006OpenAlexW1993006892MaRDI QIDQ984269

H. H. G. Hashem, Ahmed M. A. El-Sayed

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.099

zbMATH Keywords

measure of noncompactnessnonlinear integral equationDarbo fixed point theoremCarathéodory functionquadratic functional integral equationmonotonic positive solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Positive solutions of integral equations (45M20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Picard, Adomian and predictor-corrector methods for an initial value problem of arbitrary (fractional) orders differential equation ⋮ Existence of weak solutions for a boundary value problem of a second order ordinary differential equation ⋮ Asymptotic stability of solutions to a nonlinear Urysohn quadratic integral equation ⋮ Existence results for coupled systems of quadratic integral equations of fractional orders ⋮ Stabilization of coupled systems of quadratic integral equations of Chandrasekhar type ⋮ Positive solutions of a quadratic integro-differential equation ⋮ Fixed points and solutions of operator equations for the weak topology in Banach algebras ⋮ Picard and Adomian decomposition methods for a quadratic integral equation of fractional order ⋮ On the existence of integrable solutions for a nonlinear quadratic integral equation ⋮ On the solvability of a self-reference functional and quadratic functional integral equations ⋮ Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

Cites Work

• Existence theorems for some quadratic integral equations
• Monotonic solutions of a quadratic integral equation of Volterra type
• On solutions of a quadratic integral equation of Hammerstein type
• On the superposition operator and integrable solutions of some functional equation
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