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Contemporary Mathematics. Fundamental Directions, 2006, Volume 15, Pages 112–125 (Mi cmfd42)  
This article is cited in 4 scientific papers (total in 4 papers)

On asymptotic properties of solutions of functional differential equations of neutral type

V. V. Vlasov, D. A. Medvedev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (209 kB) Citations (4)
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Abstract: In this paper, we obtain sharp estimates for strong solutions of functional differential equations of neutral type. Our result is closely connected with our previous results devoted to the initial-value problem for above-mentioned equations in the scale of Sobolev spaces. To obtain our estimates of the solutions, we essentially use Riesz basis properties of the system of exponential solutions. The fact that they form a Riesz basis is one of the main results of this article.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 4, Pages 1469–1482
DOI: https://doi.org/10.1007/s10958-008-0076-2
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: V. V. Vlasov, D. A. Medvedev, “On asymptotic properties of solutions of functional differential equations of neutral type”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, CMFD, 15, PFUR, M., 2006, 112–125; Journal of Mathematical Sciences, 149:4 (2008), 1469–1482
Citation in format AMSBIB
\Bibitem{VlaMed06}
\by V.~V.~Vlasov, D.~A.~Medvedev
\paper On asymptotic properties of solutions of functional differential equations of neutral type
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~1
\serial CMFD
\yr 2006
\vol 15
\pages 112--125
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd42}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336431}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 4
\pages 1469--1482
\crossref{https://doi.org/10.1007/s10958-008-0076-2}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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