Asymptotically stable solutions for a nonlinear functional integral equation

DOI10.1007/s40306-015-0122-3zbMath1353.47121OpenAlexW2046369791MaRDI QIDQ255663

Nguyen Thanh Long, Le Thi Phuong Ngoc

Publication date: 9 March 2016

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0122-3

zbMATH Keywords

contraction mappingasymptotically stable solutioncompletely continuousfixed point theorem of Krasnosel'skii type

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Functional equations for real functions (39B22) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space ⋮ Applying a fixed point theorem of Krasnosel'skii type to the existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation ⋮ Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in \(L^1\) spaces

Cites Work

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• The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space
• On a fixed point theorem of Krasnosel'skii type and application to integral equations
• Solvability and asymptotic stability of a nonlinear functional-integral equation
• Solving a system of nonlinear integral equations and existence of asymptotically stable solutions
• An existence result of asymptotically stable solutions for an integral equation of mixed type
• A note on the existence of solutions to some nonlinear functional integral equations

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