New Oscillation Results for Second-Order Advanced Differential Equations with Mixed Neutral Nonlinearities

This paper investigates the oscillatory behavior of a new class of second-order nonlinear neutral advanced differential equations with mixed superlinear and sublinear neutral terms in the noncanonical case. The coexistence of these nonlinearities substantially increases the analytical complexity and limits the applicability of many existing oscillation criteria. To address this challenge, a new analytical framework is developed by establishing qualitative properties of eventually positive solutions. Based on this framework, new oscillation criteria are derived by combining the comparison method with the generalized Riccati transformation. The proposed results provide a unified treatment of the cases m>n, m=n, and m