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The aim of article is to investigate oscillatory manner for remediation of thirdorder linear delay difference neutral equation term ∆(c2(t)∆(c1(t)∆y(t)))+ p(t)x(t−σ) = 0, t ≥ t0 > 0 here y(t) = x(t)+q(t)x(t−ξ ). By using comparability concepts with related 1st and 2nd order difference delay inequality. Examples are given to major outcomes.

Oscillatory properties of third-order delay difference neutral equations