On the oscillation of higher-order half-linear delay difference equations

Abstract

In this paper, sufficient conditions are established for the oscillatory and asymptotic behavior of higher-order half-linear delay difference equation of the form where it is assumed that ∑ s∞=n0 1/ps 1/α < ∞. The main theorem improves some existing results in the literature. An example is provided to demonstrate the effectiveness of the main result. © 2012 NSP Natural Sciences Publishing Cor.