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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 4, Pages 95–115 (Mi ufa121)  
This article is cited in 15 scientific papers (total in 15 papers)

On spectral properties of a differential operator with summable coefficients with a retarded argument

S. I. Mitrokhin

Research Computer Center, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (276 kB) Citations (15)
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Abstract: The paper considers spectral properties of differential operators of the sixth order with a retarded argument. It is supposed that coefficients of the operator are summable functions on a segment. One can study 36 kinds of boundary-valued conditions simultaneously by one method. The asymptotics of eigenvalues of the differential operator is also calculated.
Keywords: differential operator, summable coefficients, retarded argument, asymptotics of eigenvalues, asymptotics of solutions.
Received: 15.06.2011
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: S. I. Mitrokhin, “On spectral properties of a differential operator with summable coefficients with a retarded argument”, Ufimsk. Mat. Zh., 3:4 (2011), 95–115
Citation in format AMSBIB
\Bibitem{Mit11}
\by S.~I.~Mitrokhin
\paper On spectral properties of a~differential operator with summable coefficients with a~retarded argument
\jour Ufimsk. Mat. Zh.
\yr 2011
\vol 3
\issue 4
\pages 95--115
\mathnet{http://mi.mathnet.ru/ufa121}
\zmath{https://zbmath.org/?q=an:1249.34182}
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  • https://www.mathnet.ru/eng/ufa/v3/i4/p95
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Full-text PDF :154
    References:60
    First page:2
     
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