All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic horizontal beams are also indicated.
"Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping." Abstr. Appl. Anal. 2009 1 - 7, 2009. https://doi.org/10.1155/2009/484158