An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.
An analysis of the stability boundary for a linear fractional difference system
This paper deals with basic stability properties of a two-term linear autonomous fractional difference system involving the Riemann-Liouville difference. In particular, we focus on the case when eigenvalues of the system matrix lie on a boundary curve separating asymptotic stability and unstability regions. This issue was posed as an open problem in the paper J. Čermák, T. Kisela, and L. Nechvátal (2013). Thus, the paper completes the stability analysis of the corresponding fractional difference...
An analytic representation for selfmaps of a countably infinite set and its cycles. (Short Communication).
An analytic representation for selfmaps of a countably infinite set and its cycles.
An angle metric through the notion of Grassmann representative.
An Apéry-like difference equation for Catalan's constant.
An application of a functional equation to information theory
An application of matrix calculus to an engineering problem.
An application of nonstandard analysis to functional equations.
An asymptotic form of Cauchy's functional equation.
An asymptotic form of Cauchy's functional equation. (Short Communication).
An asymptotic result for some delay difference equations with continuous variable.
An axiomatic characterization of generalized directed-divergence
An axiomatization of Nesterenko's method and applications on Mahler functions II
An estimate for the attraction domains of difference equations with periodic linear terms.
An example of a stable functional equation when the Hyers method does not work.
An example of local analytic q-difference equation : Analytic classification
Using the techniques developed by Jean Ecalle for the study of nonlinear differential equations, we prove that the -difference equationwith () and is analytically conjugated to one of the following equations :
An example of nonlinear -difference equation
An existence and stability theorem for a class of functional equations.
Consider the class of functional equationsg[F(x,y)] = H[g(x),g(y)],where g: E --> X, f: E x E --> E, H: X x X --> X, E is a set and (X,d) is a complete metric space. In this paper we prove that, under suitable hypotheses on F, H and ∂(x,y), the existence of a solution of the functional inequalityd(f[F(x,y)],H[f(x),f(y)]) ≤ ∂(x,y),implies the existence of a solution of the above equation.
An existence principle for nonlocal difference boundary value problems with -Laplacian and its application to singular problems.