(ω, c)- Pseudo almost periodic distributions

Abstract

The paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties. Some results about the existence of distributional (w, c) −pseudo almost periodic solutions of linear differential systems are proposed.

Keywords

• (w,c) –almost periodic functions
• (w,c) –pseudo almost periodic functions
• (w,c) –almost periodic distributions
• (w,c) –pseudo almost periodic distributions
• linear differential systems
• primary 46f05, 46e30, 28a20
• secondary 34c25, 42a75