A semigroup approach to stochastic systems with input delay at the boundary

This work focuses on the well-posedness of abstract stochastic linear systems with boundary input delay and unbounded observation operators. We use product spaces a semigroup approach to reformulate such into free-delay distributed control gives us opportunity concept admissible operators as well Yosida extensions prove existence uniqueness solution process provide an estimation in relation initial conditions process. As example, we consider Schrödinger system delay.