On local attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation

DOI10.1016/J.AMC.2009.02.048zbMath1175.45002OpenAlexW2030089065MaRDI QIDQ1030221

Beata Rzepka, Józef Banaś

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.048

zbMATH Keywords

asymptotic stabilityglobal attractivitymeasure of noncompactnessuniform local attractivityquadratic Volterra integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (12)

Qualitative analysis of nonlinear implicit neutral differential equation of fractional order ⋮ An existence result for functional integral equations via Petryshyn's fixed point theorem ⋮ Stability and Attractivity Analysis of Uncertain Switched Systems under Optimistic Value Criterion ⋮ Solvability of nonlinear integral equations of Volterra type ⋮ Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type ⋮ On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator ⋮ Solvability and asymptotic stability of a nonlinear functional-integral equation ⋮ Fixed point theorems in the Fréchet space \(\mathcal C(\mathbb R_+)\) and functional integral equations on an unbounded interval ⋮ On existence theorems for some generalized nonlinear functional-integral equations with applications ⋮ Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type ⋮ On Fredholm-Type Integral Equations in Topological Hölder Spaces ⋮ An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions

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