ASYMPTOTIC BEHAVIOUR OF SECOND ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS

摘要

In this paper, we have given some necessary and sufficient conditions for all non-oscillatory solutions to the nonlinear neutral difference equation Δ~3[y(n) - p(n)y(r(n))] +q(n)f(y(σ(n)))= 0 converge to zero as n→∞. Some examples are given to illustrate the obtained result.