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Mathematics of the USSR-Sbornik, 1988, Volume 60, Issue 2, Pages 437–455
DOI: https://doi.org/10.1070/SM1988v060n02ABEH003180
(Mi sm1890)
 

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients

V. G. Maz'ya, M. G. Sulimov
References:
Abstract: The authors study equations of the form
$$ \sum_{k\geqslant0}A_ku_{n-k}=f_n,\qquad n=0,\pm1,\dots, $$
where the $u_n$ and $f_n$ are elements in some Hilbert space $H$, and the $A_k$ are bounded linear operators on $H$. It is assumed that the corresponding operator symbol
$$ L(\lambda )=\sum_{k\geqslant0}A_k\lambda^k $$
is a holomorphic Fredholm operator-valued function which is normal in some neighborhood of zero.
Bibliography: 9 titles.
Received: 12.07.1985 and 07.07.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 132(174), Number 4, Pages 451–469
Bibliographic databases:
UDC: 517.9
MSC: Primary 39A10; Secondary 47A56, 47A53
Language: English
Original paper language: Russian
Citation: V. G. Maz'ya, M. G. Sulimov, “Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients”, Mat. Sb. (N.S.), 132(174):4 (1987), 451–469; Math. USSR-Sb., 60:2 (1988), 437–455
Citation in format AMSBIB
\Bibitem{MazSul87}
\by V.~G.~Maz'ya, M.~G.~Sulimov
\paper Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 132(174)
\issue 4
\pages 451--469
\mathnet{http://mi.mathnet.ru/sm1890}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=886640}
\zmath{https://zbmath.org/?q=an:0625.39005}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 60
\issue 2
\pages 437--455
\crossref{https://doi.org/10.1070/SM1988v060n02ABEH003180}
Linking options:
  • https://www.mathnet.ru/eng/sm1890
  • https://doi.org/10.1070/SM1988v060n02ABEH003180
  • https://www.mathnet.ru/eng/sm/v174/i4/p451
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:291
    Russian version PDF:78
    English version PDF:15
    References:38
     
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