A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a( t ) [ ( b( t )( x( t )+p( t ) x α ( τ ) )’ )’ ] β )+q( t ) x λ ( σ( t ) )=0 is considered.

This paper studies the oscillatory and asymptotic behavior of solutions to the third-order neutral delay difference equation Δ (μ(ν)[Δ²α(ν)]a) + b(ν)βa (ν − τ) = 0, where α(ν) = β(ν) + ϱβ(ν − σ), ...