A KAM theorem for infinite-dimensional discrete systems.
A Laplace-like method for solving linear difference equations.
A Lax formalism for the elliptic difference Painlevé equation.
A Levy-Khinchin Formula for Semigroups with Involutions.
A limit formula for regular iteration groups.
A limit formula for regular iteration groups. (Summary).
A logarithmic extension of the Hölder inequality.
A Mathematical Analysis of Miller's Algorithm.
A Mixid Theory of Information - IV: Inset-Inaccuracy and Directed Divergence.
A model of cardiac tissue as an excitable medium with two interacting pacemakers having refractory time
A quite general model of the nonlinear interaction of two impulse systems describing some types of cardiac arrhythmias is developed. Taking into account a refractory time the phase locking phenomena are investigated. Effects of the tongue splitting and their interweaving in the parametric space are found. The results obtained allow us to predict the behavior of excitable systems with two pacemakers depending on the type and intensity of their interaction and the initial phase.
A model of competition
A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number....
A multidimensional functional equation having quadratic forms as solutions.
A necessary and sufficient condition for continuity of additive functions
A necessary and sufficient condition for the existence of a unique solution of a discrete boundary value problem.
A new analogue of Gauss' functional equation.
A new approach for studying fuzzy functional equations.
A new approach to the problem of constructing recurrence relations for the Jacobi coefficients
A new characterization of Euler's gamma function by a functional equation.
A new characterization of Euler's gamma function by a functional equation.
A new functional equation characterizing generalized Joukowski transformations.