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

Source abstract

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 ), , in a Banach space , where is a linear operator (unbounded) that generates an exponentially stable C 0 ‐semigroup on and is a Weyl almost periodic function. We also investigate the semilinear problems of the form u ′ ( t ) = A u ( t ) + f ( t , u ( t )).