Les processus itératifs en dynamique des populations et la théorie d'Easterlin
Les relations entre les équations pré-Schröder I
Les relations entre les équations pré-Schröder II
Level sets of continuous functions increasing with respect to each variable
We are going to prove that level sets of continuous functions increasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are arcs (Theorem 2). In [3], we will apply the second result to the classical linear functional equation φ∘f = gφ + h (cf., for instance, [1] and [2]) in a case not studied yet, where f is given as a pair of means, that is so-called mean-type mapping.
Linear differential equations with several unbounded delays
Linear functional equations with variable coefficients
Linear functional inequalities-a general theory and new special cases [Book]
Linearisierung formal-biholomorpher Abbildungen und Interationsprobleme.
Local stability of the additive functional equation and its applications.
Local stability of the functional equation characterizing polynomial functions
Lösung einer allgemeinen Funktionalgleichung mit fünf unbekannten Funktionen von verschiedenen Veränderlichenzahlen
Lösung einer Funktionalgleichung für Translationsflächen die ein zylindrisch-konisches Netz besitzen
Lower-dimensional decompositions using complex variables
The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.
Mappings preserving regular hexahedrons.
Markov operators acting on Polish spaces
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Markov operators on the space of vector measures; coloured fractals
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
Matrix method for solving linear complex vector functional equations.
Matrix refinement equations: Continuity and smoothness
In this paper we give some criteria for the existence of compactly supported -solutions ( is an integer and ) of matrix refinement equations. Several examples are presented to illustrate the general theory.
Matrix Refinement Equations: Existence and Uniqueness.
Matrix solutions of the functional equation of the gamma function.