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Matematicheskie Zametki, 1975, Volume 18, Issue 2, Pages 261–265 (Mi mzm7649)  

Absolute stability of the solutions of linear differential equations with time lags in Banach space

V. E. Slyusarchuk

Novopolots Polytechnic Institute
Abstract: The connection between the exponential stability of the solutions of linear differential equations in space of multidimensional bounded vector sequences and the absolute asymptotic stability of the solutions of differential equations with several time lags is investigated.
Received: 16.12.1974
English version:
Mathematical Notes, 1975, Volume 18, Issue 2, Pages 743–745
DOI: https://doi.org/10.1007/BF01818042
Bibliographic databases:
UDC: 517.949.2
Language: Russian
Citation: V. E. Slyusarchuk, “Absolute stability of the solutions of linear differential equations with time lags in Banach space”, Mat. Zametki, 18:2 (1975), 261–265; Math. Notes, 18:2 (1975), 743–745
Citation in format AMSBIB
\Bibitem{Sly75}
\by V.~E.~Slyusarchuk
\paper Absolute stability of the solutions of linear differential equations with time lags in Banach space
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 2
\pages 261--265
\mathnet{http://mi.mathnet.ru/mzm7649}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=393714}
\zmath{https://zbmath.org/?q=an:0314.34067}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 2
\pages 743--745
\crossref{https://doi.org/10.1007/BF01818042}
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