On multidimensional Ostrowski and Grüss type finite difference inequalities.
A characterization of oscillation and nonoscillation of the Emden-Fowler difference equation is given, jointly with some asymptotic properties. The problem of the coexistence of all possible types of nonoscillatory solutions is also considered and a comparison with recent analogous results, stated in the half-linear case, is made.
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.
Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.