Non-monotonic iterative roots extended from characteristic intervals
From MaRDI portal
Publication:631872
DOI10.1016/j.jmaa.2011.01.037zbMath1216.39028OpenAlexW2024125153MaRDI QIDQ631872
Publication date: 14 March 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.037
Related Items (36)
Conjugacy between piecewise monotonic functions and their iterative roots ⋮ The order structure of forts iterated by quadratic polynomials ⋮ Iterative roots of type \(\mathcal{T}_2\) ⋮ Existence of iterative roots for the sickle-like functions ⋮ The question on characteristic endpoints for iterative roots of PM functions ⋮ Forts of quadratic polynomials under iteration ⋮ Real polynomial iterative roots in the case of nonmonotonicity height \(\geqslant 2\) ⋮ Iterative square roots of functions ⋮ On Zhang-Yang's open question about iterative roots of PM functions of height 1. I: Increasing case ⋮ Iterative roots of PM functions extended from the characteristic interval ⋮ Recent Developments in the Translation Equation and Its Stability ⋮ The polynomial-like iterative equation for PM functions ⋮ Iterative roots of upper semicontinuous multifunctions ⋮ Open question on lower order iterative roots for PM functions ⋮ Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\) ⋮ Iterative roots of continuous functions and Hyers-Ulam stability ⋮ Estimation, dependence and stability of solutions of an iterative equation ⋮ \(C^0\) conjugacy between PM functions with nonmonotonicity height equal to 1 ⋮ Flatness, plateau limit and limit length of single-plateau functions ⋮ Iterative roots of non-PM functions and denseness ⋮ Topological conjugacy between PM function and its iterative roots ⋮ A topological classification for piecewise monotone iterative roots ⋮ Iterative roots of clenched single-plateau functions ⋮ On conjugacy ofr-modal interval maps with non-monotonicity height equal to 1 ⋮ Iterative roots of piecewise monotonic functions with finite nonmonotonicity height ⋮ Complexity in iteration of polynomials ⋮ Genetics of iterative roots for PM functions ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Existence of continuous solutions and stability for a general iterative functional equation ⋮ Stability for iterative roots of piecewise monotonic functions ⋮ How violently do smooth iterative roots oscillate? ⋮ Iterative roots of continuous functions with non-isolated forts ⋮ Iterative roots of exclusive multifunctions ⋮ Local \(C^r\) stability for iterative roots of orientation-preserving self-mappings on the interval ⋮ HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON <inline-formula><tex-math id="M1">$\mathbb{S}^1$</tex-math></inline-formula> ⋮ Extension of iterative roots
Cites Work
- On the nonexistence of iterative roots
- Fractional iterates for piecewise differentiable maps
- On groups of iterative roots of the formal power series \(F(x) = x\)
- On fractional iterates of a Brouwer homeomorphism embeddable in a flow
- A note on iterative roots of PM functions
- Zur Iteration reeller Funktionen
- The Embedding of Homeomorphisms in Flows
- PM functions, their characteristic intervals and iterative roots
- ON A CLASS OF FRACTIONAL ITERATES
- On fractional iterates of a homeomorphism of the plane
- On the Smallest Set-Valued Iterative Roots of Bijections
- Iterates of Fractional Order
- Recent results on functional equations in a single variable, perspectives and open problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Non-monotonic iterative roots extended from characteristic intervals