Abstract
Discrete analogues are investigated for well-known results on oscillation, growth, and asymptotic behavior of solutions of y″ + q( t) y γ = 0, for q( t) ⩾ 0 and for q( t) ⩽ 0. The analogue of Atkinson's oscillation criterion is shown to be true for Δ 2 y n − 1 + q n y n γ = 0, but the analogue for Atkinson's nonoscillation criterion is shown to be false.
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