We consider the fourth-order differential equation with middle-term and deviating argument , in case when the corresponding second-order equation is oscillatory. Necessary and sufficient conditions for the existence of bounded and unbounded asymptotically linear solutions are given. The roles of the deviating argument and the nonlinearity are explained, too.
"Fourth-Order Differential Equation with Deviating Argument." Abstr. Appl. Anal. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/185242