A structure theorem for sum form functional equations.
A study of resolvent set for a class of band operators with matrix elements
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations. This enables us to describe some asymptotic behavior of the corresponding systems of vector orthogonal polynomials on the resolvent set. We also find that the operators generated by infinite Jacobi matrices have the largest resolvent set in this class.
A sufficient condition for asymptotic stability of discrete-time interval system with delay.
A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities.
A symbolic operator approach to power series transformation-expansion formulas.
A synthesis of multidimensional judgements consistent with linear transformations.
A system of functional equations related to plurality functions. A method for the construction of the solutions.
A system on functional equations related to plurality functions. A method for the construction of the solutions. (Summary).
A theorem of the Hahn-Banach type and its applications
Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
A trichotomy result for non-autonomous rational difference equations
We study non-autonomous rational difference equations. Under the assumption of a periodic non-autonomous parameter, we show that a well known trichotomy result in the autonomous case is preserved in a certain sense which is made precise in the body of the text. In addition we discuss some questions regarding whether periodicity preserves or destroys boundedness.
A unified class of polynomials.
A uniqueness criterion for fractional iteration
A variant of Jessen's inequality and generalized means.
A variant of Jessen's inequality of Mercer's type for superquadratic functions.
A vector functional equation and linear differential equations.
Abel's equation and regular growth: Variations on a theme by Abel.
About solutions of a functional equation.
About the growth of entire functions solutions of linear algebraic -difference equations
About the stability and positivity of a class of discrete nonlinear systems of difference equations.
Absolutely linear relations.