Modified Oscillation Results for Advanced Difference Equations of Second-Order

Abstract

In this paper, we present a new method to establish the oscillation of advanced second-order difference equations of the form $\Delta \left(\eta \left(\ell \right)\Delta \upsilon \left(\ell \right)\right)+\rho \left(\ell \right)\upsilon \left(\sigma \left(\ell \right)\right)=0,$ using the ordinary difference equation $\Delta \left(\eta \left(\ell \right)\Delta \upsilon \left(\ell \right)\right)+q\left(\ell \right)\upsilon \left(\ell +1\right)=0.$ The obtained results are new and improve the existing criteria. We provide examples to illustrate the main results.