Group iteration for Abel's functional equation

DOI10.1016/J.NAHS.2006.04.002zbMath1133.39018OpenAlexW1988026585MaRDI QIDQ2383499

Jitka Laitochová

Publication date: 19 September 2007

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2006.04.002

zbMATH Keywords

fixed pointiterative solutionconjugacy problemnon-commutative groupAbel functional equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12)

Related Items (5)

On functional equations leading to exact solutions for standing internal waves ⋮ Matrix superpotential linear in variable parameter ⋮ Conjugation of rational functions to power functions and applications to iteration ⋮ Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane ⋮ Non-monotonic solutions and continuously differentiable solutions of conjugacy equations

Cites Work

• Algebraic structure of phase functions
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