Abstract
Under study is the problem of asymptotic but exponential stability for a class of linear autonomous neutral functional differential equations. We demonstrate that the asymptotic stability of an equation of the class takes place for all integrable initial functions if the roots of the characteristic equation lie on the left of and approach the imaginary axis.
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The authors were supported by the Ministry of Education and Science of the Russian Federation (Agreement FSNM–2020–0028) and the Russian Foundation for Basic Research (Grant 18–01–00928).
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Malygina, V.V., Balandin, A.S. Asymptotic Stability for a Class of Equations of Neutral Type. Sib Math J 62, 84–92 (2021). https://doi.org/10.1134/S0037446621010092
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DOI: https://doi.org/10.1134/S0037446621010092