On iterative roots of a homeomorphism of the circle with an irrational rotation number.
Solarz, Paweł (2002)
Mathematica Pannonica
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Solarz, Paweł (2002)
Mathematica Pannonica
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Paweł Solarz (2012)
ESAIM: Proceedings
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We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).
B. Jovanović (1972)
Matematički Vesnik
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Z. Kowalski (1963)
Annales Polonici Mathematici
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W. Solak (1971)
Annales Polonici Mathematici
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B. Jovanović (1972)
Matematički Vesnik
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Weinian Zhang (1997)
Annales Polonici Mathematici
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The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Jean-Claude Ndogmo, Fazal Mahomed (2014)
Open Mathematics
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An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations...
Katarzyna Sajbura (2005)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
D.J. Rose, P.J. Lanzkron, D.B. Szyld (1990/91)
Numerische Mathematik
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N. Levenberg, L. Reichel (1993/94)
Numerische Mathematik
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Jan Mandel (1985)
Numerische Mathematik
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J. J. Włodek (1971)
Applicationes Mathematicae
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Richard S. Varga, Gerhard Starke (1993)
Numerische Mathematik
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Beata Strycharz-Szemberg, Tomasz Szemberg (2011)
Open Mathematics
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We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.