Bounded solutions of a generalized Gołąb-Schinzel equation

• Autorzy: Jabłońska E.
• Języki publikacji: EN

Abstrakty

EN

Let X be a linear space over the field K of real or complex numbers. We characterize solutions f : X - > K and M : K - > K of the equation f(x+M)(f)y)=f(x)f(y) in the case where the set {x is an element of X : f (x) = 0} has an algebraically interior point. As a consequence we give solutions of the equation such that f is bounded on this set.

Słowa kluczowe

EN

Gołąb-Schinzel equation; linear space

PL

równanie Gołąb-Schinzel; przestrzeń linearna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 3
• Strony: 533--547
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Jabłońska E.

• Department of Mathematics Rzeszów University of Technology ul. W. Pola 2 35-959 Rzeszów, Poland,

Bibliografia

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