Abstract

Oscillatory properties of third-order half-linear neutral dynamic equations were investigated in this paper. Some conditions are obtained to ensure the oscillation of all solutions of a neutral dynamic equation with several coefficients and several variable delays, t ∈ [t0, ∞)\U0001d54b, where γ > 0 is a quotient of odd positive integers, , and , and the results are supported by illustrative examples.

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