Global attractivity results for nonlinear functional integral equations via a Krasnoselskii type fixed point theorem

DOI10.1016/j.na.2008.03.033zbMath1163.45005OpenAlexW2013320659MaRDI QIDQ1006683

Bapurao C. Dhage

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.033

zbMATH Keywords

fixed point theoremattractive solutionsasymptotic attractive solutionsnonlinear functional integral equation of Volterra type

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Asymptotics of solutions to integral equations (45M05)

Related Items (12)

Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations ⋮ On global existence and attractivity results for nonlinear functional integral equations ⋮ Fractional order integral equations of two independent variables ⋮ Coupled hybrid fixed point theory in a partially ordered metric space and attractivity of nonlinear hybrid fractional integral equations ⋮ Coupled hybrid fixed point theory involving the sum and product of three coupled operators in a partially ordered Banach algebra with applications ⋮ Asymptotic stability results for nonlinear fractional difference equations ⋮ On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator ⋮ Attractivity of fractional functional differential equations ⋮ Global attractivity for fractional order delay partial integro-differential equations ⋮ Uniform asymptotic stability of solutions of fractional functional differential equations ⋮ Fixed-point theorems for multivalued operator matrix under weak topology with an application ⋮ Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation

Cites Work

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• Existence principles for nonlinear resonant operator and integral equations
• An application of a measure of noncompactness in the study of asymptotic stability
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• A fixed-point theorem of Krasnoselskii
• Local asymptotic stability for nonlinear quadratic functional integral equations
• Volterra integral and differential equations

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