Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms

Abstract

We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral coefficients are unbounded. Thus, the results obtained here are new and complement some known results reported in the literature. Examples are also given to illustrate the applicability and strength of the obtained conditions over the known ones.

Keywords

• oscillation
• quasilinear difference equation
• delay and advanced neutral terms