Novel criteria for exponential stability of functional differential equations

Ngoc, Pham

doi:10.1090/S0002-9939-2013-11554-6

Novel criteria for exponential stability of functional differential equations
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Proc. Amer. Math. Soc. 141 (2013), 3083-3091 Request permission

Abstract:

We first give explicit criteria for exponential stability of general linear nonautonomous functional differential equations. Then the obtained results are extended to nonlinear functional differential equations. Two examples are given to illustrate the results. To the best of our knowledge, the results of this note are new.

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