Weyl almost anti-periodic solution to a neutral functional semilinear differential equation

Abstract

In this work, we first propose a concept of Weyl almost anti-periodic functions. Then, we make use of the contraction mapping principle and analysis techniques to research the existence of a unique Weyl almost anti-periodic solution to a neutral functional semilinear abstract differential equation. Finally, we give an example of a neutral functional partial differential equation to show the validity of the obtained results.

Keywords

• weyl almost anti-periodicity
• neutral functional differential equation
• semilinear abstract differential equation