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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 5, Pages 1027–1054
DOI: https://doi.org/10.1070/IM1969v003n05ABEH000827 (Mi im2193) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Investigation of the Green's function for differential operators with almost periodic coefficients

V. Sh. Burd, Yu. S. Kolesov, M. A. Krasnosel'skii
English version PDF (1074 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1969v003n05ABEH000827
Abstract: The article investigates general properties of linear differential operators of first and second order with almost periodic matrix coefficients in the space of almost periodic vector functions. Conditions for the existence of the Green's function are examined as well as conditions for positivity and negativity of the Green's function relative to certain cones in the phase space.
Received: 28.10.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 5, Pages 1089–1119
Bibliographic databases:
UDC: 517.9
MSC: 34B27, 34K06, 34A12
Language: English
Original paper language: Russian
Citation: V. Sh. Burd, Yu. S. Kolesov, M. A. Krasnosel'skii, “Investigation of the Green's function for differential operators with almost periodic coefficients”, Izv. Akad. Nauk SSSR Ser. Mat., 33:5 (1969), 1089–1119; Math. USSR-Izv., 3:5 (1969), 1027–1054
Citation in format AMSBIB
\Bibitem{BurKolKra69}
\by V.~Sh.~Burd, Yu.~S.~Kolesov, M.~A.~Krasnosel'skii
\paper Investigation of the Green's function for differential operators with almost periodic coefficients
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 5
\pages 1089--1119
\mathnet{http://mi.mathnet.ru/im2193}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=265687}
\zmath{https://zbmath.org/?q=an:0197.11904}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 5
\pages 1027--1054
\crossref{https://doi.org/10.1070/IM1969v003n05ABEH000827}
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  • https://www.mathnet.ru/eng/im2193
  • https://doi.org/10.1070/IM1969v003n05ABEH000827
  • https://www.mathnet.ru/eng/im/v33/i5/p1089
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:633
    Russian version PDF:204
    English version PDF:16
    References:82
    First page:1
     
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