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In this work, we study the existence and uniqueness of bounded Weyl almost periodic solution to the abstract differential equation  u   ′  ( t )  =   A  u ( t ) +  f ( t ),   t  ∈  R  , in a Banach space   X  , where   A  :  D   A   ⊂  X  →  X   is a linear operator (unbounded) that generates an exponentially stable  C  0 ‐semigroup on   X   and   f  :  R  →  X   is a Weyl almost periodic function. We also investigate the semilinear problems of the form  u   ′  ( t )  =   A  u ( t ) +  f ( t , u ( t )).

Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients