Abstract
We consider the equation du(t)/dt = Au(t) + Bu(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.
| Original language | English |
|---|---|
| Article number | 76 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2024 |
| DOIs | |
| State | Published - 1 Jan 2024 |
Keywords
- Banach space
- delay differential equation
- integro-differential equation
- stability
ASJC Scopus subject areas
- Analysis