Measures of noncompactness and asymptotic stability of solutions of a quadratic Hammerstein integral equation

DOI10.1216/RMJ-2011-41-6-1769zbMath1236.45003OpenAlexW2082969231MaRDI QIDQ658367

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

Publication date: 12 January 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2011-41-6-1769

zbMATH Keywords

asymptotic stabilitymeasure of noncompactnessnonlinear integral equationquadratic integral equationDarbo fixed point principle

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (3)

ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES ⋮ Optimum solutions for a system of differential equations via measure of noncompactness ⋮ 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 in metric fixed point theory
• An application of a measure of noncompactness in the study of asymptotic stability
• On solutions of a quadratic integral equation of Hammerstein type
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• Punti uniti in trasformazioni a codominio non compatto
• Integral equations arising in the kinetic theory of gases
• Hammerstein equations with an integral over a noncompact domain
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