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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm1890https://doi.org/10.1070/SM1988v060n02ABEH003180 https://www.mathnet.ru/eng/sm/v174/i4/p451
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Abstract page: | 291 | Russian version PDF: | 78 | English version PDF: | 15 | References: | 38 |
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