New results on positive almost periodic solutions for first-order neutral differential equations

Abstract

Abstract In this paper, a class of first-order neutral differential equations with time-varying delays and coefficients is considered. Some results on the existence of positive almost periodic solutions for the equations are obtained by using the contracting mapping principle and the differential inequality technique. In addition, an example is given to illustrate our results.

Keywords

• Positive almost periodic solution
• First order
• Neutral differential equation