Important Criteria for Asymptotic Properties of Nonlinear Differential Equations

Abstract

In this article, we prove some new oscillation theorems for fourth-order differential equations. New oscillation results are established that complement related contributions to the subject. We use the Riccati technique and the integral averaging technique to prove our results. As proof of the effectiveness of the new criteria, we offer more than one practical example.

Keywords

• fourth-order differential equations
• neutral delay
• oscillation