Eigenvalue characterization of a system of difference equations

• Published in: Нелінійні коливання
• Date: 2004
• ISSN: 1562-3076
• Main Authors: Agarwal, R.P., O'Regan, D., P. J. Y. Wong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176990
• 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.

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...