De Rham systems and the solution of a class of functional equations.
De Rham's singular function and related functions.
Développements asymptotiques -Gevrey et séries -sommables
Nous donnons une version -analogue de l’asymptotique Gevrey et de la sommabilité de Borel, dues respectivement à G. Watson et E. Borel et systématiquement développées depuis une quinzaine d’années par J.-P. Ramis, Y. Sibuya, etc. Le but de ces auteurs était l’étude des équations différentielles dans le champ complexe. De même notre but est l’étude des équations aux -différences dans le champ complexe, dans la ligne de G.D. Birkhoff et W.J. Trjitzinsky.Plus précisément, nous introduisons une nouvelle...
Die allgemeine Lösung einer zylindrischen Differentialgleichung vierter Ordnung nullten Parameterwertes
Dispersions for linear differential equations of arbitrary order
For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.
Eine neue Funktionalgleichung zur Bestimmung elliptischer Integrale erster Gattung und ihrer Umkehrungen.
Erdős problem and quadratic equation.
Espacios de producto interno (II).
Among normal linear spaces, the inner product spaces (i.p.s.) are particularly interesting. Many characterizations of i.p.s. among linear spaces are known using various functional equations. Three functional equations characterizations of i.p.s. are based on the Frchet condition, the Jordan and von Neumann identity and the Ptolemaic inequality respectively. The object of this paper is to solve generalizations of these functional equations.
Existence of solutions for equations involving iterated functional series.
Exponential estimates of solutions of difference equations with continuous time.
Extension theorems for integral representations of solutions of a functional eqaution.
Fixed point methods for the generalized stability of functional equations in a single variable.
Functional equation associated with triangle geometry. (Summary).
Functional equations and a theoretical model of DLTS
The paper deals with a theoretical model of the Crowel-Alipanahi correlator. The model describes a new possible effect of the DLTS spectra-exponential and nonexponential transient capacitance, normal or anomalous spectra.
Functional equations associated with triangle geometry.
Functional equations for pecular functions.
Functional equations in real-analytic functions
The equation φ (x) = g(x,φ (x)) in spaces of real-analytic functions is considered. Connections between local and global aspects of its solvability are discussed.
Functional equations stemming from numerical analysis [Book]
Functions having the Darboux property and satisfying some functional equation
Let X be a real linear topological space. We characterize solutions f:X → ℝ and M:ℝ → ℝ of the equation f(x+M(f(x))y) = f(x)f(y) under the assumption that f and M have the Darboux property.
Fundamental central dispersions of the phase function with the final oscillation