Positive periodic solution for third-order singular neutral differential equation with time-dependent delay

Abstract

In this paper, we investigate a class of third-order singular neutral differential equations with time-dependent delay. Applying Krasnoselskii’s fixed point theorem, we prove the existence results of a positive periodic solution for this neutral equation.

Keywords

• positive periodic solution
• neutral operator
• singularity
• krasnoselskii’s fixed point theorem
• two available operators