TY - JOUR AU - Alzabut, Jehad AU - Bohner, Martin AU - Grace, Said R. PY - 2021 DA - 2021/01/05 TI - Oscillation of nonlinear third-order difference equations with mixed neutral terms JO - Advances in Difference Equations SP - 3 VL - 2021 IS - 1 AB - In this paper, new oscillation results for nonlinear third-order difference equations with mixed neutral terms are established. Unlike previously used techniques, which often were based on Riccati transformation and involve limsup or liminf conditions for the oscillation, the main results are obtained by means of a new approach, which is based on a comparison technique. Our new results extend, simplify, and improve existing results in the literature. Two examples with specific values of parameters are offered. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-020-03156-0 DO - 10.1186/s13662-020-03156-0 ID - Alzabut2021 ER -