The existence of positive solution of systems of Volterra nonlinear difference equations

• Published in: Нелінійні коливання
• Date: 2006
• Main Authors: Zhu, Jiang, Liu, X.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178065
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The existence of positive solution of systems of Volterra nonlinear difference equations / Jiang Zhu, X. Liu // Нелінійні коливання. — 2006. — Т. 9, № 1. — С. 37-47. — Бібліогр.: 10 назв. — англ.

In this paper, a classification scheme for the eventually positive solutions of a class of two-dimensional Volterra nonlinear difference equations is given in terms of asymptotic magnitudes. Some necessary as well as sufficient conditions for the existence of such solutions are provided, without a...