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.

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

  • Michael Gil’

摘要

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.