Nondecreasing solutions of a quadratic integral equation of Urysohn type

DOI10.1016/J.CAMWA.2005.08.033zbMath1134.45004OpenAlexW2057346581MaRDI QIDQ2475894

Wagdy Gomaa El-Sayed, Beata Rzepka

Publication date: 11 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.033

zbMATH Keywords

measure of noncompactnessfixed-point theoremnon-decreasing solutions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

Some existence theorems for systems of equations involving condensing operators and applications ⋮ Asymptotic stability of solutions to a nonlinear Urysohn quadratic integral equation ⋮ Existence results for coupled systems of quadratic integral equations of fractional orders ⋮ Positive solutions of fractional integral equations by the technique of measure of noncompactness ⋮ Adomian solution of a nonlinear quadratic integral equation ⋮ Stabilization of coupled systems of quadratic integral equations of Chandrasekhar type ⋮ Existence of nondecreasing solutions of a quadratic integral equation of Volterra type ⋮ On quadratic integral equations in Orlicz spaces ⋮ Existence of continuous solutions of quadratic Volterra integral inclusions ⋮ On successive approximation method for coupled systems of Chandrasekhar quadratic integral equations

Cites Work

• Existence principles for nonlinear resonant operator and integral equations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Some properties of Uryson-Stieltjes integral operators
• Punti uniti in trasformazioni a codominio non compatto
• Quadratic equations and applications to Chandrasekhar's and related equations
• Some elementary examples in nonlinear operator theory
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