Delay-dependent stability conditions for delay differential equations with unbounded operators in Banach spaces

We consider the equation \(du(t)/dt=Au(t)+B u(t-h)\) where \(t>0\), \(h\) is a positive constant, and \(A\) is a linear unbounded and \(B\) is a linear bounded operators. We establish explicit delay-dependent conditions for exponential stability, and present applications to partial integro-differential equations with delay. For more information see https://ejde.math.txstate.edu/Volumes/2024/76/abstr.html