[2] K. Baron and W. Jarczyk:
Recent results on functional equations in a single variable, perspectives and open problems. Aequationes Math. 61 (2001), 1–48.
DOI 10.1007/s000100050159 |
MR 1820808
[3] K. Ciepliński:
On the embeddability of a homeomorphism of the unit circle in disjoint iteration groups. Publ. Math. Debrecen 55 (1999), 363–383.
MR 1721896
[4] K. Ciepliński:
On properties of monotone mappings of the circle. J. Anal. Appl. 4 (2006), 169–178.
MR 2237441
[5] I. P. Cornfeld, S. V. Fomin and Y. G. Sinai:
Ergodic Theory, Grundlehren 245, Springer Verlag, Berlin-Heidelberg-New York. 1982.
MR 0832433
[7] W. Jarczyk:
Babbage equation on the circle. Publ. Math. Debrecen 63 (2003), 389–400.
MR 2018071
[8] M. Kuczma, B. Choczewski and R. Ger:
Iterative Functional Equations. Encycl. Math. Appl. 32, Cambridge Univ. Press, Cambridge, 1990.
MR 1067720
[10] J. Mai:
Conditions of existence for $N$-th iterative roots of homeomorphisms on the circle, in Chinese. Acta Math. Sinica 30 (1987), 280–283.
MR 0891939
[11] J. Mai and X. Liu:
Existence, uniqueness and stability of $C^m$ solutions of iterative functional equations. Science in China A43 (2000), 897–913.
MR 1804042
[12] J. Matkowski and W. Zhang:
On the polynomial-like iterative functional equation. Functional Equations & Inequalities, Math.& Its Appl. Vol. 518, ed. T. M. Rassias, Kluwer Academic, Dordrecht, 2000, pp. 145–170.
MR 1792082
[13] A. Mukherjea and J. S. Ratti:
On a functional equation involving iterates of a bijection on the unit interval. Nonlinear Anal. 7 (1983), 899–908.
MR 0709042
[14] J. Palis and W. Melo:
Geometric Theory of Dynamical Systems, An Introduction. Springer-Verlag, New York, 1982.
MR 0669541
[15] J. Si:
Continuous solutions of iterative equation $G(f(x), f^{n_2}(x),\dots , f^{n_k}(x))=F(x)$. J. Math. Res. Exp. 15 (1995), 149–150. (Chinese)
MR 1334273
[16] P. Solarz:
On some iterative roots on the circle. Publ. Math. Debrecen 63 (2003), 677–692.
MR 2020780 |
Zbl 1050.39027
[18] C. T. C. Wall:
A Geometric Introduction to Topology. Addison-Wesley, Reading, 1972.
MR 0478128
[20] M. C. Zdun:
On iterative roots of homeomorphisms of the circle. Bull. Polish Acad. Sci. Math. 48 (2000), 203–213.
MR 1768699 |
Zbl 0996.39016
[21] J. Zhang, L. Yang and W. Zhang:
Some advances on functional equations. Adv. Math. (Chin.) 24 (1995), 385–405.
MR 1381750
[22] W. Zhang:
Discussion on the solutions of the iterated equation $\sum _{i=1}^n\lambda _if^i(x)=F(x)$. Chin. Sci. Bul. 32 (1987), 1444–1451.
MR 1006051
[24] W. Zhang and J. A. Baker:
Continuous solutions of a polynomial-like iterative equation with variable coefficients. Ann. Polon. Math. 73 (2000), 29–36.
DOI 10.4064/ap-73-1-29-36 |
MR 1786685
[25] W. Zhang:
Solutions of equivariance for a polynomial-like iterative equation. Proc. Royal Soc. Edinburgh 130A (2000), 1153–1163.
MR 1800096 |
Zbl 0983.39010
[26] Zhu-Sheng Zhang:
Relations between embedding flows and transformation groups of self-mappings on the circle. Acta Math. Sinica 24 (1981), 953–957. (Chinese)
MR 0658369