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Volume 2 (2022), Article ID 4
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 $(\mu,\nu) $-ergodic process to define the spaces of $(\mu,\nu)$-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 $(\mu,\nu)$-pseudo almost periodic solutions of class $r$ for the stochastic evolution equation.
How to Cite:
Mohamado Kiema and Issa Zabsonre, Square-mean pseudo almost periodic solutions of class r under the light of measure theory, Eur. J. Math. Appl. 2 (2022), Article ID 4. https://doi.org/10.28919/ejma.2022.2.4