Delay-Dependent Stability Conditions for Semilinear Functional Differential Equations in a Banach Space

Michael Gil’ ()
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Michael Gil’: Ben Gurion University of the Negev, Department of Mathematics

A chapter in Functional Equations and Ulam’s Problem, 2026, pp 151-159 from Springer

Abstract: Abstract We consider a class of semilinear differential equations with several variable delays and bounded operators in a Banach space. Explicit delay-dependent exponential stability conditions for the considered equation are established. Applications to semilinear integro-differential equations with delay are also discussed.

Keywords: Banach space; Semilinear differential-delay equation; Non-autonomous equation; Stability; Integro-differential equations; 34K30; 34K06; 34K20 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-08949-6_8

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DOI: 10.1007/978-3-032-08949-6_8

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