Browsing Rocznik Naukowo-Dydaktyczny. Prace Matematyczne by Title
Now showing items 36-55 of 230
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The generalized associativity equation revisited
(2000)In this note we solve the generalized associativity equation in the real case supposing that the unknown functions are continuous and strictly monotonie in each variable. We do not suppose surjectivity of any kind. -
Generalized convex sets
(1997)In this paper we shall present a definition of convex set with respect to a two-parameter family of functions. It appears that these sets have some properties like convex sets in the usual sense. -
Geometrical convexity and the Artin functional equation
(1998)We give uniqueness and existence results of Krull type for the Artin functional equation F(x + 1) = g(x)F(x), in the frame of geometrical convexity. Some of them are improvements of previous ones in the literature. -
Global version of a Sternberg linearization theorem
(2000)Let X{x) = DX(0)x + Z(x) be a smooth vector field in R[n], with X (0) = 0, such that 0 is a contracting singular point of the linear part. We aim to extend the local Sternberg theorem on the linearization of X near the ... -
Inequalities like Opial’s inequality
(1985) -
Linear equations with multiplicative operators in commutative algebras with logarithms
(2000)Fundamental solutions in Leibniz algebras with logarithms have been constructed in [2]. In several applications operators under consideration inducing logarithmic mappings are either multiplicative or can be reduced by ... -
L’équation de translation et l’équation de Sincov généralisée
(1999)On donne une liaison entre l’équation de translation (1) et l’équation de Sincov généralisée (2), aussi dans le cas du type de Pexider ((20) et (23)). On formule aussi quelques problèmes ouverts.