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Abstrakty
We show that, under reasonable assumptions, two negative roots can be eliminated from the characteristic equation of a polynomial-like iterative equation. This result gives a new case where we may lower the order of such an equation.
Wydawca
Czasopismo
Rocznik
Tom
Strony
243--249
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland
Bibliografia
- [1] S. Draga and J. Morawiec, Reducing the polynomial-like iterative equations order and a generalized Zoltán Boros’ problem, Aequationes Math. 90 (2016), 935-950, DOI 10.1007/s00010-016-0420-4.
- [2] A. J. Jerri, Linear Difference Equations with Discrete Transform Methods, Springer 1996, DOI 10.1007/978-1-4757-5657-9.
- [3] J. Matkowski and W. Zhang, Method of characteristic for functional equations in polynomial form, Acta Math. Sin. 13 (1997), 421-432, DOI 10.1007/BF02560023.
- [4] J. Matkowski and W. Zhang, Characteristic analysis for a polynomial-like iterative equation, Chinese Sci. Bull. 43 (1998), 192-196, DOI 10.1007/BF02898908.
- [5] S. Nabeya, On the functional equation f (p + qx + rf (x)) = a + bx + cf (x), Aequationes Math. 11 (1974), 199-211, DOI 10.1007/BF01834919.
- [6] D. Yang and W. Zhang, Characteristic solutions of polynomial-like iterative equations, Aequationes Math. 67 (2004), 80-105, DOI 10.1007/s00010-003-2708-4.
- [7] P. Zhang and X. Gong, Continuous solutions of 3-order iterative equation of linear dependence, Adv. Difference Equ. 318 (2014), DOI 10.1186/1687-1847-2014-318.
- [8] W. Zhang, B. Xu, and W. Zhang, Global solutions for leading coefficient problem of polynomial-like iterative equations, Results. Math. 63 (2013), 79-93, DOI 10.1007/s00025-011-0162-5.
- [9] W. Zhang and W. Zhang, On continuous solutions of n-th order polynomial-like iterative equations, Publ. Math. Debrecen 76 (2010), 117-134.
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Bibliografia
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