Oscillation of super-linear fourth-order differential equations with several sub-linear neutral terms

Abstract

Abstract In this paper, we discuss the oscillatory behavior of solutions of a class of Super-linear fourth-order differential equations with several sub-linear neutral terms using the Riccati and generalized Riccati transformations. Some Kamenev–Philos-type oscillation criteria are established. New oscillation criteria are deduced in both canonical and non-canonical cases. An illustrative example is given.

Keywords

• Oscillation
• Fourth order
• Neutral differential equations