The authors investigate the oscillatory and asymptotic behavior of solutions to the third-order nonlinear differential equation of noncanonical type with mixed deviating arguments \(\begin{aligned} (p_2(t)(p_1(t)y'(t))')'= q_1(t)y^{\mu }(\sigma (t))+q_2(t)y^{\lambda }(\tau (t)),\;t\ge t_0. \end{aligned}\) By transforming this noncanonical equation into canonical form, they establish robust criteria that guarantee the oscillation of all solutions. Their findings not only extend earlier results in the literature, but also introduce novel techniques for analyzing the oscillatory properties of such functional differential equations. They present a series of illustrative examples that underscore the practical relevance and innovation of their main results.
