Asymptotic behavior of solutions of third-order neutral differential equations with discrete and distributed delay

Abstract

By refining the standard Riccati substitution technique, integral averaging technique and comparison principle, we obtain new oscillation and asymptotic behavior for a class of third-order neutral differential equations with discrete and distributed delay. These criteria dealing with some cases have not been covered by the existing results in the literature. We present many sufficient conditions and related examples in order to illustrate the main results.

Keywords

• oscillation
• third order
• delay
• neutral
• differential equation