Pexider type equation on a region

• Autorzy: Chudziak M. , Sobek B.

Identyfikatory

DOI

10.1515/jaa-2017-0014

• Języki publikacji: EN

Abstrakty

EN

We consider the problem of existence and uniqueness of extensions for the solutions of the Pexider type equation f(x + y) = g(x) + h(y) + k(x)l(y) for (x, y) ∈ D, where X is a normed space and D is a nonempty open and connected subset of X².

Słowa kluczowe

EN

Pexider type equation; restricted domain; extension

PL

równania typu Pexidera; rozszerzenie

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2017
• Tom: Vol. 23, nr 2
• Strony: 101--110
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Chudziak M.

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-310 Rzeszów, Poland

autor

Sobek B.

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-310 Rzeszów, Poland

Bibliografia

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• [4] J. Aczél, Extension of a generalized Pexider equation, Proc. Amer. Math. Soc. 133 (2005), 3227-3233.
• [5] J. Aczél, Utility of extension of functional equations - when possible, J. Math. Psych. 49 (2005), 445-449.
• [6] J. Chudziak and J. Tabor, Generalized Pexider equation on a restricted domain, J. Math. Psych. 52 (2008), 389-392.
• [7] M. Chudziak and B. Sobek, Generalized Pexider equation on an open domain, Results Math. 71 (2017), 1359-1372.
• [8] J. K. Chung, B. R. Ebanks, C. T. Ng and P. K. Sahoo, On a quadratic-trigonometric functional equation and some applications, Trans. Amer. Math. Soc. 347 (1995), 1131-1161.
• [9] G. L. Forti and L. Paganoni, Ω-additive functions on topological groups, in: Constantin Caratheodory: An International Tribute. Vol. I, II, World Scientific, Teaneck (1991), 312-330.
• [10] P. Kannappan and P. K. Sahoo, On generalizations of the Pompeiu functional equation, Int. J. Math. Math. Sci. 21 (1998), 117-124.
• [11] S. H. Lee and K-W. Jun, On a generalized Pompeiu functional equation, Aequationes Math. 62 (2001), 201-210.
• [12] F. Radó and J. A. Baker, Pexider’s equation and aggregation of allocations, Aequationes Math. 32 (1987), 227-239.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).