Oscillation of a higher order neutral difference equation with a forcing term.
Necessary and sufficient conditions are obtained for every solution of to oscillate or tend to zero as , where , and are sequences of real numbers such that . Different ranges for are considered.
Sufficient conditions for the oscillation of some nonlinear difference equations are established.
The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form where is even, is studied. Examples are included to illustrate the results.
In this paper, sufficient conditions are obtained for oscillation of all solutions of third order difference equations of the form These results are generalization of the results concerning difference equations with constant coefficients Oscillation, nonoscillation and disconjugacy of a certain class of linear third order difference equations are discussed with help of a class of linear second order difference equations.