Solvability of a quadratic Hammerstein integral equation in the class of functions having limits at infinity

DOI10.1216/JIE-2011-23-2-157zbMath1223.45006MaRDI QIDQ548798

Józef Banaś, Ravi P. Agarwal, Donal O'Regan, Kamil Banaś

Publication date: 30 June 2011

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

zbMATH Keywords

measure of noncompactnessDarbo fixed point theoremsuperposition operatorquadratic Hammerstein integral equation

Mathematics Subject Classification ID

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)

Related Items

On the Solvability of a Class of Nonlinear Integral Equations in Hölder Spaces ⋮ Solution of Hammerstein type integral equation with two variables via a new fixed point theorem ⋮ Existence of solutions of nonlinear Fredholm-type integral equations in Hölder space ⋮ On the space of functions with growths tempered by a modulus of continuity and its applications ⋮ Solvability of an integral equation of Volterra-Wiener-Hopf type ⋮ Solvability of a quadratic integral equation of Fredholm type with supremum in Hölder spaces ⋮ The existence and attractivity of solutions of an Urysohn integral equation on an unbounded interval ⋮ Compactness of the set of trajectories of the control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Measures of noncompactness in metric fixed point theory
• On solutions of a quadratic integral equation of Hammerstein type
• Punti uniti in trasformazioni a codominio non compatto
• Hammerstein equations with an integral over a noncompact domain
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