Remarks concerning the pexiderized Gołąb-Schinzel functional equation

• Autorzy: Jabłońska E.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to proof of theorem concerning solutions of the pexiderized Gołąb-Schinzel functional equation. We provide explicite formulas expressing solutions of the equation. Our considerations refer to the paper [6].

Słowa kluczowe

EN

pexiderized Gołąb-Schinzel equation; Gołąb-Schinzel equation; Pexider equation

PL

równanie Gołąb-Schinzel; równanie Pexidera

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2012
• Tom: Vol. 35
• Strony: 33--38
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Jabłońska E.

• Department of Mathematics, Rzeszów University of Technology, Powstańców Warszawy 12, 35-959 Rzeszów, POLAND

Bibliografia

• [1] Brzdęk J.: The Gołąb-Schinzel equation and its generalizations. Aequationes Math. 70, 14-24 (2005).
• [2] Charifi A., Bouikhalene B. and Kabbaj S.: On solutions of Pexiderizations of the Gołąb-Schinzel Functional Equation. Inequality Theory and Applications, Nov. Sc. Publ. 6, 25-36 (2010).
• [3] Chudziak J.: Semigroup-Valued Solutions of the Gołąb-Schinzel Functional Equation. Abh. Math. Sem. Univ. Hamburg, 76, 91-98 (2006).
• [4] Gołąb S. and Schinzel A.: Sur lequation fonctionnelle ƒ(x+ƒ(x)y)=ƒ(x)ƒ(y). Publ. Math. Debrecen, 6, 113-125 (1959).
• [5] Jabłońska E.: Continuous on rays solutions of an equation of the Gołąb-Schinzel type. J. Math. Anal. Appl. 375, 223-229 (2011).
• [6] Jabłońska E.: The pexiderized Gołąbb-Schinzel functional equation. J. Math. Anal. Appl. 381, 565-572 (2011).
• [7] Pexider H.W.: Notizuber Funktionaltheoreme. Monatsh. Math. Phys. 14, 293-301 (1903).
• [8] Vincze E.: Über die Losung der Funktionalgleichung ƒ(y+xg(y))=L(h(x),k(y)). Ann. Polon. Math. 18, 115-119 (1966).