The aim of this work is to present new approach to study Cn-( )-pseudo almost automorphic solutions of class r for some neutral partial functional di erential equations in a Banach space when the delay is distributed. We use the variation of constants formula and the spectral decomposition of the phase space.

measure theory, ergodicity, ( (1) )-pseudo almost automorphic function, Cn-almost auto morphic functions, partial functional differential equations