S. R. Grace, Department of Engineering Mathematics, Faculty of Engineering,
Cairo University, Orman, Giza 12221, Egypt
D. O'Regan, Department of Mathematics, National University of Ireland,
Abstract. In this paper we shall present some new oscillation criteria for difference equations of the form
Δm x(n) + q(n) f(x[n - τ]) = 0and
Δm x(n) = q(t) f(x[n - τ]) + p(n) F(x[n + σ])via comparison with some difference equations of lower order whose oscillatory behavior are known.
2000 Mathematics Subject Classification. 39A10.
Key words and phrases. Oscillation, nonoscillation, difference, nonlinear, comparison.