New oscillation criteria for second-order nonlinear neutral delay difference equations

Authors:
S. H. Saker
Affiliations:
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

In this paper we will establish some new oscillation criteria for the second-order nonlinear neutral delay difference equation Δ(an(Δxn + pnxn-τ)γ) + f(n, xn-σ) = 0, n = 0, 1, 2,..., where γ 0 is a quotient of odd positive integers.