Exponential stability of c0-semigroup via Lyapunov inequality in Banach space

Belabbas Madani, Zohra Bendaoud

We give a relation between the exponential stability of $C_0-$semigroup $\text{T}={\left\{T(t)\right\}}_{t\ge 0}$ and the solutions of Lyapunov inequality \( \le…