On lP solutions of discrete Volterra equations.
On lP solutions of discrete Volterra equations. (Summary).
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 oscillation of second order linear difference equations with deviated arguments.
On oscillatory first order neutral impulsive difference equations
We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.
On oscillatory nonlinear fourth-order difference equations with delays
In this work, oscillatory behaviour of solutions of a class of fourth-order neutral functional difference equations of the form is studied under the assumption New oscillation criteria have been established which generalize some of the existing results in the literature.
On solutions of linear difference equations with infinite delay.
On Some Classes Of Linear Equations
On some classes of linear equations.
On Some Difference Inequalities
On some discrete inequalities in two independent variables
In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.
On some fundamental integral inequalities and their discrete analogues.
On some new N-independent-variable discrete inequalities of the Gronwall type.
On some operational representations of -polynomials
On some properties of polynomial functions
On some specific nonlinear ordinary difference equations
On spectral theory for singular S-hermetian difference systems.
On the appearance of primes in linear recursive sequences.
On the asymptotic behavior of solutions of linear difference equations.
In the paper sufficient conditions for the difference equation :Δxn = Σi=0r an(i) xn+ito have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.
On the asymptotic behaviour of solutions of difference equations