[1] Babbage Ch. An essay towards the calculus of functions. Philos Trans, 1815, 105:389-423
[2] Babbage Ch. An essay towards the calculus of functions, Ⅱ. Philos Trans, 1816, 106:179-256
[3] Baron K, Jarczyk W. Recent results on functional equations in a single variable, perspectives and open problems. Aequationes Math, 2001, 61:1-48
[4] Chen J, Zhang W. Leading coefficient problem for polynomial-like iterative equations. J Math Anal Appl, 2009, 349:413-419
[5] Editorial. Report of Meeting The 50th International Symposium on Functional Equations Hotel Aurum, Hajdúszoboszló (Hungary), June 17-24, 2012. Aequationes Math, 2013, 86(3):289-320
[6] Gong X, Zhang W. Convex solutions of the polynomial-like iterative equation in Banach spaces. Publ Math Debrecen, 2013, 82:341-348
[7] Kuczma M. Functional Equations in a Single Variable. Monogr Math, Vol 46. PWN:Warsaw, 1968
[8] Kuczma M, Choczewski B, Ger R. Iterative Functional Equations. Encyclopedia Math Appl, Vol 32. Cambridge:Cambridge University Press, 1990
[9] Li X, Deng S. An iterative equation on the unit circle. Acta Math Sci, 2006, 26B(3):541-550
[10] Liu L, Gong X. The polynomial-like iterative equation for PM functions. Science China Mathematics, 2017, 60(8):1503-1514
[11] Ng C, Zhao H. Periodic and continuous solutions of a polynomial-like iterative equation. Aequationes Math, 2017, 91(1):185-200
[12] Si J. Existence of local analytic solutions of the iterative equation $\sum\limits^{n}_{i=1}\lambda_i f^i(z)=F(z)$. Acta Math Sinica, 1994, 37:590-600(in Chinese)
[13] Zhang J, Yang L. Discussion on iterative roots of piecewise monotone functions. Acta Math Sinica, 1983, 26:398-412(in Chinese)
[14] Zhang J, Yang L, Zhang W. Some advances on functional equation. Adv Math (in Chinese), 1995, 24:385-405
[15] Zhang P, Li W. Height and topological conjugacy of piecewise monotone functions. Acta Math Sinica, 2018, 2(61):243-260(in Chinese)
[16] Zhang W. Discussion on the iterated equation $\sum\limits_{i=1}^n\,\lambda_{i}f^{i}(x)=F(x)$. Chinese Sci Bull, 1987, 32:1444-1451
[17] Zhang W. Solutions of equivariance for a polynomial-like iterative equation. Proc Roy Soc Edinburgh Sect, Sect A, 2000, 130:1153-1163
[18] Zhang W, Xu B. Algebraic approach to equivariance of solutions for an iterative equation. Publ Math Debrecen, 2008, 72(1/2):189-198
[19] Zhang W, Xu B, Zhang W. Global solutions for leading coefficient problem of polynomial-like iterative equations. Results Math, 2013, 63:79-93 |