This paper is concerned with the relationship between the concepts of oscillation, nonoscillation and disconjugacy of the general third order linear differential equation y''' + p(x)y" + q(x)y' + ...
In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form Δ(b(n)Δ(a(n)Δz(n))) + q(n)xα(σ(n)) = 0 where z(n) = x(n) + p(n)x(τ(n)), α > 0, b(n) > 0, ...