Characteristic analysis for a polynomial-like iterative equation

DOI10.1007/BF02898908zbMath0986.39011MaRDI QIDQ5955851

Wei Nian Zhang, Janusz Matkowski

Publication date: 18 February 2002

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

characteristic polynomialcharacteristic rootsiterative dynamicspolynomial-like iterative equation

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (10)

On a functional equation involving iterates and powers ⋮ Reducing the polynomial-like iterative equations order and a generalized Zoltán Boros' problem ⋮ Strongly convex solutions of a polynomial-like iterative equation with variable coefficients ⋮ On a Zoltán Boros' problem connected with polynomial-like iterative equations ⋮ The polynomial-like iterative equation for PM functions ⋮ CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS ⋮ Means of iterates ⋮ Continuous solutions of 3rd-order iterative equation of linear dependence ⋮ Existence of solutions of polynomial-like iterative equation with discontinuous known functions ⋮ A note on the order of polynomial-like iterative equations

Cites Work

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• On the functional equation \(f(p+qx+rf(x))=a+bx+cf(x)\)
• A generic property of globally smooth iterative roots
• On a functional equation involving iterates of a bijection on the unit interval
• Continuous solutions of a functional equation
• Discussion on the differentiable solutions of the iterated equation

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