A composite functional equation and invariant curves

• Autorzy: Matkowski J. , Okrzesik J.
• Języki publikacji: EN

Abstrakty

EN

The continuous solutions of a composite functional equation are characterized. An applications to the problem of invariant curves is presented.

Słowa kluczowe

EN

functional equation; composite functional equation; invariant curve

PL

równanie funkcyjne; złożone równanie funkcyjne; niezmiennicza krzywa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 121--133
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Matkowski J.

autor

Okrzesik J.

• Faculty of Mathematics, Computer Science and Econometry, University of Zielona Góra, Podgórna 50, Pl-65246 Zielona Góra, Poland ; and Institute of Mathematics, Silesian University, Bankowa 14, PL-40007 Katowice, Poland.,

Bibliografia

• [1] J. Dhombres, Some Aspects of Functional Equations, Chulalongkorn University, Bangkok, 1979.
• [2] J. Hadamard, Sur l'iteration et solutions asymptotiques des équations differentielles, Bull. Soc. Math. France 29 (1901), 224-228.
• [3] W. Jarczyk, On continuous solutions of the equation of invariant curves, C. Carathéodory: An International Tribute, Vol. I, edited by Th. M. Rassias, World Scientific Publ. Co. (1991), 527-542.
• [4] P. Kahlig, A. Matkowska and J. Matkowski, On a class of composite functional equations in a single variable, Aequationes Math. 52 (1996), no. 3, 260-283.
• [5] P. Kahlig and J. Smítal, On the solutions of a functional equation of Dhombres, Results Math. 27 (1995), no. 3-4, 362-367.
• [6] P. Kahlig and J. Smítal, On a generalized Dhombres functional equation, Aequationes Math. 62 (2001), no. 18-29,
• [7] P. Kahlig and J. Smítal, On a generalized Dhombres functional equation. II, Math. Bohem. 127 (2002), no. 4,547-555.
• [8] M. Kuczma. In Kahlig, Smítal, J. Results Math. 27 (1995), no. 3-4, 362-367
• [9] S. Lattés, Sur les équations fonctionnelles qui définissent une courbe ou une surface invariante par une transformation, Ann. di Mat. (3) 25 (1906), 1-137.
• [10] J. Matkowski and J. Okrzesik, On a composite functional equation, Demonstratio Math. 36 (2003), 653-658.
• [11] P. Montel, Leçons sur les récurrences et leursapplications, Gauthier-Villars, Paris, 1957.