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Contemporary Mathematics. Fundamental Directions, 2007, Volume 21, Pages 77–86 (Mi cmfd78)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic behavior of solutions of delay equations in Hilbert spaces

D. A. Medvedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We establish unimprovable estimates of solutions of inhomogeneous delay differential-difference equations, the coefficients of which are unbounded operators and operator-functions acting in a Hilbert space. We also present results about expansions of those solutions into a sum of a (finite) linear combination of exponential solutions for the homogeneous equation and a function with a smaller power of the exponential growth.
English version:
Journal of Mathematical Sciences, 2008, Volume 153, Issue 5, Pages 551–561
DOI: https://doi.org/10.1007/s10958-008-9136-x
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: D. A. Medvedev, “Asymptotic behavior of solutions of delay equations in Hilbert spaces”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 21, PFUR, M., 2007, 77–86; Journal of Mathematical Sciences, 153:5 (2008), 551–561
Citation in format AMSBIB
\Bibitem{Med07}
\by D.~A.~Medvedev
\paper Asymptotic behavior of solutions of delay equations in Hilbert spaces
\inbook Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A.~L.~Skubachevskii (Peoples' Friendship University of Russia)
\serial CMFD
\yr 2007
\vol 21
\pages 77--86
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd78}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336492}
\zmath{https://zbmath.org/?q=an:1164.34041}
\elib{https://elibrary.ru/item.asp?id=13579785}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 153
\issue 5
\pages 551--561
\crossref{https://doi.org/10.1007/s10958-008-9136-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249090619}
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    • This publication is cited in the following 1 articles:
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