Proportion functions in three dimensions.
Recursive inset entropies of multiplicative type on open domains.
Regularity properties of functional equations.
Regularity properties of functional equations. (Short Communication).
Relations de dépendance entre les équations fonctionelles de Cauchy.
Relative Information Functions and Their Type (a, ß) Generalizations.
Remark on BV-solutions of a functional equation connected with invariant measures.
Remarks on the Entropy Equation
Representation of continuous associative functions.
Strengthened forms of Ling's representation theorem concerning a class of continuous associative functions are given: Firstly the monotonicity condition is removed. Then the associativity condition is replaced by the power associativity.
Résolutions de deux équations fonctionnelles proches de l'équation de Cauchy
Scale-invariant equal sacrifice in taxation and conditional functional equations.
Solution générale d'une équation fonctionelle dans le domaine des fonctions analytiques
Some binary representations of real numbers and odd solutions of the functional equation ... .
Some Characterization Theorems for Generalized Measures of Uncertainty and Information.
Some Existence Theorems for Functional Equations in Many Variables and the Characterization of Weighted Quasi-Arithmetic Means
Some Existence Theorems for Functional Equations in Many Variables and the Characterization of Weighted Quasi-Arithmetic Means (Short Communication)
Some remarks on a problem of C. Alsina.
Equation[1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y))has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]:[2] f(x+1) + f (f(x)+1) = 1,[3] f(2x) + f(2f(x)) = f(2f(x + f(x))).Equation [3] leads to a Cauchy functional equation:[4] phi(f(x)+x) = phi(f(x)) + phi(x),restricted to the graph of the function f,...
Some remarks on Karmarkar's potential function.
Some reproducing identities for families of mean values.
Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties, we...