Open Access

Unbounded solutions of an iterative-difference equation


Cite

[1] M. Balcerowski, On the functional equation x+f(y+f(x)) = y+f(x+f(y)), Aequationes Math., 75 (2008), 297–303.10.1007/s00010-007-2905-7Search in Google Scholar

[2] N. Brillouët-Belluot, Problem 15, Proceedings of 38th ISFE (2000 Hungary), Aequationes Math., 61 (2001), 304.Search in Google Scholar

[3] N. Brillouët-Belluot and Weinian Zhang, On a class of iterative-difference equations, J. Difference Equations Appl., 16 (2010), 1237–1255.10.1080/10236190902791627Search in Google Scholar

[4] Jingmin Chen and Weinian Zhang, Leading coefficient problem for polynomial-like iterative equations, J. Math. Anal. Appl., 349 (2009), 413–419.10.1016/j.jmaa.2008.09.015Search in Google Scholar

[5] J. Dhombres, Some aspects of functional equations, Chulalongkorn University Press, Bangkok, 1979.Search in Google Scholar

[6] W. Jarczyk, On an equation of linear iteration, Aequationes Math., 51 (1996), 303–310.10.1007/BF01833285Search in Google Scholar

[7] J. Jarczyk, W. Jarczyk, On the problem of N. Brillouët-Belluot, Aequationes Math., 72 (2006), 198–200.10.1007/s00010-006-2836-8Search in Google Scholar

[8] M. Kuczma, On the mutual noncompatibility of homogeneous analytic non-power means, Aequationes Math., 45 (1993), 300–321.10.1007/BF01855888Search in Google Scholar

[9] J. Matkowski, Weinian Zhang, On linear dependence of iterates, J. Appl. Anal., 6 (2000), 149–157.10.1515/JAA.2000.149Search in Google Scholar

[10] S. Nabeya, On the functional equation f(p+qx+rf(x)) = a+bx+cf(x), Aequationes Math., 11 (1974), 199–211.10.1007/BF01834919Search in Google Scholar

[11] M. Sablik, Remark 4, Report of meeting, 10th International Conference on Functional Equations and Inequalities (Bedlewo, 2005), Ann. Acad. Paed. Cracoviensis Studia Math., 5 (2006), 127–165.Search in Google Scholar

[12] J. Sikorska, Differentiable solutions of a functional equation related to the non-power means, Aequationes Math., 55 (1998), 146–152.10.1007/s000100050026Search in Google Scholar

[13] J. Tabor, J. Tabor, On a linear iterative equation, Results Math., 27 (1995), 412–421.10.1007/BF03322847Search in Google Scholar

[14] J. Tabor, M. Zoldak, Iterative equations in Banach spaces, J. Math. Anal. Appl., 299 (2004), 651–662.10.1016/j.jmaa.2004.06.011Search in Google Scholar

[15] Bing Xu, Weinian Zhang, Construction of continuous solutions and stability for the polynomial-like iterative equation, J. Math. Anal. Appl., 325 (2007), 1160–1170.10.1016/j.jmaa.2006.02.065Search in Google Scholar

[16] Dilian Yang, Weinian Zhang, Characteristic solutions of polynomial-like iterative equations, Aequationes Math., 67 (2004), 80–105.10.1007/s00010-003-2708-4Search in Google Scholar

[17] Yingying Zeng, Weinian Zhang, Continuous solutions of an iterative-difference equation and Brillouët-Belluot’s problem, Publ. Math. Debrecen, 78 (2011), 613–624.10.5486/PMD.2011.4802Search in Google Scholar

[18] Weinian Zhang, On existence for polynomial-like iterative equations, Results Math., 45 (2004), 185–194.10.1007/BF03323006Search in Google Scholar

[19] Weinian Zhang, K. Nikodem, Bing Xu, Convex solutions of polynomial-like iterative equations, J. Math. Anal. Appl., 315 (2006), 29–40.10.1016/j.jmaa.2005.10.006Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics