Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

Abstract

Abstract Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation criteria are established, which are based on a refinement generalized Riccati transformation. An important tool for this investigation is the integral averaging technique. Moreover, we provide an example to illustrate the main results.

Keywords

• Third-order
• Neutral differential equations
• Oscillation
• Riccati transformation