Square-mean pseudo almost periodic solutions of class r under the light of measure theory

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Résumé

The aim of this work is to present new concept of square-mean pseudo almost periodic of class r using the measure theory. We use the ergodic process to define the spaces of pseudo almost periodic processes of class r in the square-mean sense. We present many interesting results on those spaces like completeness and composition theorems
and we study the existence and the uniqueness of the square-mean pseudo almost periodic solutions of class r for the stochastic evolution equation.

Mots-clés

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