New oscillation criteria for second-order neutral differential equations with distributed deviating arguments

Abstract

Abstract In this work, we create new oscillation conditions for solutions of second-order differential equations with continuous delay. The new criteria were created based on Riccati transformation technique and comparison principles. Furthermore, we obtain iterative criteria that can be applied even when the other criteria fail. The results obtained in this paper improve and extend the relevant previous results as illustrated by examples.

Keywords

• Deviating argument
• Second order
• Neutral differential equation
• Oscillation