Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory

Abstract

Using the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.

Keywords

• measure theory
• ergodicity
• (μ, v)-pseudo almost automorphic function
• evolution equations
• reaction diffusion system
• partial functional differential equations