A note on discrete maximal regularity for functional difference equations with infinite delay.
A note on heat kernel estimates on weighted graphs with two-sided bounds on the weights.
A note on stabilization of discrete nonlinear systems.
A Note on the Generating Functions
A note on the global attractivity of a discrete model of Nicholson's blowflies.
A Note on the Iterative Solution of Recurrence Relations.
A note on the parabolic differential and difference equations.
A note on the periodicity of the Lyness max equation.
A Perron-Frobenius theorem for positive quasipolynomial matrices associated with homogeneous difference equations.
A positive solution for singular discrete boundary value problems with sign-changing nonlinearities.
A proof of a conjecture by Karamata.
A proof of Leibniz's formula for divided differences.
A Reformulation of Olver's Algorithm for the Numerical Solution of Second-Order Linear Difference Equations.
A remark on th-order linear functional equations with constant coefficients.
A role of the coefficient of the differential term in qualitative theory of half-linear equations
The aim of this contribution is to study the role of the coefficient in the qualitative theory of the equation , where with . We discuss sign and smoothness conditions posed on , (non)availability of some transformations, and mainly we show how the behavior of , along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisticated modifications of the Riccati...
A sharpening of discrete analogues of Wirtinger's inequality
A short proof of the Cushing-Henson conjecture.
A simple system of discrete two-scale difference equations.
A solution to a problem of J. Schwaiger.
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.