On mappings, orthogonally additive in the Birkhoff-James sense.
On measurable solutions of a functional equation and its application to information theory
On measurable solutions of a functional equation and their application to information theory
In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon’s entropy and entropy of type is given.
On measures connected with the Cauchy equation.
On measures connected with the Cauchy equation. (Short Communication).
On measures of relative ‘useful’ information
On meromorphic equivalence of linear difference operators
We consider linear difference equations whose coefficients are meromorphic at . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
On Meromorphic Solutions of a Functional Equation of Ganapathy Iyer.
On meromorphic solutions of a functional equation of Kuczma and Smajdor. (Short Communication).
On meromorphic solutions of a functional equation of Kuczma and Smajdor.
On meromorphic solutions of certain functional equations.
On meromorphic solutions of certain functional equations. (Short Communication).
On midpoint convex set-valued functions.
On Mikusiński-Pexider functional equation
On Mikusiński's functional equation
On miura transformations and Volterra-type equations associated with the adler-bobenko-suris equations.
On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations
In the paper a modification of Samoilenko's numerical analytic method is adapted for solving of boundary value problems for difference equation. Similarly to the case of differential equations it is shown that the considered modification of the method requires essentially less restrictive condition-then the original method-for existence and uniqueness of solution of auxiliary equations which play a crucial role in solving the boundary value problems for difference equations.
On monotone solutions of some classes of difference equations.
On monotonic solutions of some functional equations [Book]
On multidimensional Ostrowski and Grüss type finite difference inequalities.