On differentiable solutions of some systems of functional equations of p-th order
Z. Krzeszowiak-Dybiec (1980)
Annales Polonici Mathematici
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Z. Krzeszowiak-Dybiec (1980)
Annales Polonici Mathematici
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Z. Krzeszowiak-Dybiec (1980)
Annales Polonici Mathematici
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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.
Talwong, Sukrawan, Laohakosol, Vichian, Cheng, Sui Sun (2004)
Applied Mathematics E-Notes [electronic only]
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W. Smajdor (1967)
Annales Polonici Mathematici
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Marek Kuczma (1969)
Annales Polonici Mathematici
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B. Szafirski (1970)
Annales Polonici Mathematici
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Li, Wenrong, Cheng, Sui Sun, Lu, Tzon Tzer (2001)
Applied Mathematics E-Notes [electronic only]
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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.
Petropoulou, Eugenia N. (2005)
Abstract and Applied Analysis
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Kuczma, M. (1992)
Mathematica Pannonica
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Detlef Gronau (1982)
Aequationes mathematicae
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J. Matkowski (1971)
Annales Polonici Mathematici
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J. Matkowski (1970)
Annales Polonici Mathematici
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W. Solak (1971)
Annales Polonici Mathematici
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Z. Kowalski (1963)
Annales Polonici Mathematici
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