New Oscillation Criteria for Second Order Half-Linear Neutral Type Difference Equation With Distributed Deviating Arguments

Abstract

In this paper, we will study the oscillatory properties of the second order half-linear difference
equationwith distributed deviating arguments. We obtain several new sufficient conditions for the oscillation of all
solutions of this equation. Our results improve and extend some known results in the literature. Examples which dwell
upon the importance of our results are also included.