The \(C^1\) solutions of the series-like iterative equation with variable coefficients

DOI10.1155/2009/173028zbMath1195.39005OpenAlexW2045657267WikidataQ59248261 ScholiaQ59248261MaRDI QIDQ1035091

Xiaopei Li, Yuzhen Mi, Ling Ma

Publication date: 10 November 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45673

zbMATH Keywords

Schauder's fixed point theoremiterative functional equation\(C^1\) solutions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Iteration theory, iterative and composite equations (39B12)

Cites Work

• Convex solutions of polynomial-like iterative equations
• Decreasing solutions and convex solutions of the polynomial-like iterative equation
• Differentiability for the high dimensional polynomial-like iterative equation
• Iterative functional equations in the class of Lipschitz functions
• Continuous solutions of a polynomial-like iterative equation with variable coefficients
• Solutions of equivariance for a polynomial-like iterative equation
• Discussion on the differentiable solutions of the iterated equation
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