Multi-dimensional (ω, c)-almost periodic type functions and applications

Abstract

In this paper, we analyze various classes of multi-dimensional (ω, c)-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented. We provide certain applications of our abstract theoretical results to the abstract Volterra integro-differential equations, as well.

Keywords

• multi-dimensional (ω,c)-almost periodic functions
• multi-dimensional (ωj,cj)j∈ℕn-periodic functions
• multi-dimensional c-almost periodic functions
• (i′, a, ω, c)-almost periodic type functions
• abstract volterra integro-differential equations
• 42a75
• 43a60
• 47d99