Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition

Abstract

Well-posedness and exponential stability of nonlocal time-delayed of a wave equation with a integral conditions of the 1st kind forms the center of this work. Through semigroup theory we prove the well-posedness by the Hille-Yosida theorem and the exponential stability exploring the dissipative properties of the linear operator associated to damped model using the Gearhart-Huang-Pruss theorem.

Keywords

• Well-posedness
• exponential stability
• wave equation
• semigroup