Pseudo-almost periodic solutions for first-order neutral differential equations

Abstract

Abstract In this paper, we study a class of first-order neutral differential equations with time-varying delays and coefficients. Employing the fixed point method and differential inequality techniques, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of pseudo-almost periodic solutions for the addressed equations. These theoretical results are also supported with numerical simulations.

Keywords

• Pseudo-almost periodic solution
• First-order neutral differential equation
• Existence
• Global exponential stability