Pseudo almost periodic solutions of differential equations with piecewise constant arguments

Abstract

In this paper, we give a definition of pseudo almost periodic sequence and study the existence of pseudo almost periodic sequence to difference equation. Based on these, we investigate the existence of pseudo almost periodic solutions to differential equations with piecewise constant arguments which was considered by K. L. Cooke & J. Wiener and found applications in certain biomedical problems.

Keywords:

• Pseudo almost periodic solutions
• pseudo almost periodic sequences
• differential equations with piecewise constant argument

AMS:

• 34K15