Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 76, pp. 1-8.

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

Authors: Michael Gil' (Ben Gurion Univ. of the Negev, Israel)
  
Abstract: 
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.

Submitted May 16, 2024. Published November 26, 2024.
Math Subject Classifications: 34K30, 34K06, 34K20.
Key Words: Banach space; delay differential equation; stability;  integro-differential equation.