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Matematicheskie Zametki, 1973, Volume 13, Issue 1, Pages 67–78 (Mi mzm7105)  
This article is cited in 2 scientific papers (total in 2 papers)

An estimate for the spectral radius of an operator associated with an equation of neutral type

È. Mukhamadiev, B. N. Sadovskii

Voronezh State University, USSR
Full-text PDF (809 kB) Citations (2)
Abstract: We obtain new bounds for the spectral radius of the operator $(Ax)(t)=a(t)x(t-h)$ in spaces of functions which are $\omega$-periodic, almost periodic, and continuous and bounded on the whole axis. The results are used to prove a theorem on the existence ofohgr-periodic, bounded, and almost periodic solutions for linear functional-differential equations of neutral type.
Received: 31.01.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 1, Pages 39–45
DOI: https://doi.org/10.1007/BF01093627
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: È. Mukhamadiev, B. N. Sadovskii, “An estimate for the spectral radius of an operator associated with an equation of neutral type”, Mat. Zametki, 13:1 (1973), 67–78; Math. Notes, 13:1 (1973), 39–45
Citation in format AMSBIB
\Bibitem{MuhSad73}
\by \`E.~Mukhamadiev, B.~N.~Sadovskii
\paper An estimate for the spectral radius of an operator associated with an equation of neutral type
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 1
\pages 67--78
\mathnet{http://mi.mathnet.ru/mzm7105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320482}
\zmath{https://zbmath.org/?q=an:0261.47003|0255.47004}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 1
\pages 39--45
\crossref{https://doi.org/10.1007/BF01093627}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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