On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term

Abstract

[EN]In this paper, we deal with the asymptotic and oscillatory behavior of the solutions of higher-order differential equations with middle term of a particular form. By using generalized Riccati transformations we study the asymptotic behavior and derive a new oscillation criterion. The results obtained here extend and improve some well-known results which have been published recently in the literature. An example is given to illustrate the applicability of the obtained results.