On global exponential stability of discrete-time Hopfield neural networks with variable delays.
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.
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.
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.
In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.