Electron. J. Differential Equations, Vol. 2024 (2024), No. 76, pp. 1-8.

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

Michael Gil'

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.

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.
DOI: 10.58997/ejde.2024.76

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Michael Gil'
Department of Mathematics
Ben Gurion University of the Negev
P.0. Box 653, Beer-Sheva 84105, Israel
email: gilmi@bezeqint.net

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