Solving a system of nonlinear integral equations and existence of asymptotically stable solutions

DOI10.7153/dea-04-14zbMath1252.45003OpenAlexW2315776305MaRDI QIDQ2896907

Nguyen Thanh Long, Le Thi Phuong Ngoc

Publication date: 5 July 2012

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-04-14.pdf

zbMATH Keywords

fixed pointasymptotic stabilityBanach spacecompletely continuous operatorcontraction mappingsystem of nonlinear integral equationsLipschitz type conditions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Applications of operator theory to differential and integral equations (47N20) Systems of nonlinear integral equations (45G15) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

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