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Cn - pseudo almost automorphic solutions of class r for neutral partial functional differential equations under the light of measure theory

Napo Miailou, Zabsonre Issa, Bayili Gilbert

Silesian Journal of Pure and Applied Mathematics

2022

Vol. 12, iss. 1

1--32

The aim of this work is to present new approach to study Cn-(µ,v)-pseudo almost automorphic solutions of class r for some neutral partial functional differential 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.