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On the oscillatory and asymptotic behavior of certain fourth order difference equations

Grace, S.R.; Agarwal, R.P.; Pinelas, Sandra

Functional Differential Equations, 17(1-2) (2010), 105-112
http://www.functionaldifferentialequations.com/index.php/fde/article/view/95

Some new criteria for the oscillatory and asymptotic behavior of solutions of the fourth order difference equation with the property that x (k) /k -> 0 as k -> oo are established.