Eigenvalue characterization of a system of difference equations

We consider the following system of difference equations: ui(k) = λ∑gi(k, l)Pi(l, u1(l), u2(l), . . . , un(l)), k ∈ {0, 1, . . . }, 1 ≤ i ≤ n, where λ > 0 and T ≥ N ≥ 0. Our aim is to determine those values of λ such that the above system has a constant-sign solution. In addition, explicit...

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Bibliographic Details
Date:2004
Main Authors: Agarwal, R.P., O'Regan, D., P. J. Y. Wong
Format: Article
Language:English
Published: Інститут математики НАН України 2004
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/176990
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Eigenvalue characterization of a system of difference equations / R.P. Agarwal, D. O'Regan, P. J. Y. Wong // Нелінійні коливання. — 2004. — Т. 7, № 1. — С. 3-47. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine