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We have obtained some results on oscillatory behavior of third order nonlinear neutral difference equations of the form  Δ 3 ( y m 1 + b y m 1 − δ 1 − c y m 1 + δ 2 ) β = q m 1 − 1 y m 1 − ρ 1 − 1 γ − q m 1 y m 1 − ρ 1 γ + p m 1 − 1 y m 1 + ρ 2 − 1 y − p m 1 y m 1 + ρ 2 γ Δ 3 ( y m 1 + b y m 1 − δ 1 − c y m 1 + δ 2 ) β = q m 1 − 1 y m 1 − ρ 1 − 1 γ − q m 1 y m 1 − ρ 1 γ + p m 1 − 1 y m 1 + ρ 2 − 1 y − p m 1 y m 1 + ρ 2 γ where  β  and  γ  are odd integers with  γ  ≥ 1. Example is provided to illustrate the results.

Application of certain Third-order Non-linear Neutral Difference Equations in Robotics Engineering