Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems

Li, Wan-Tong; Huang, Can-Yun; Cheng, Sui Sun

doi:https://doi.org/10.1155/DDNS/2006/58532

Discrete Dynamics in Nature and Society

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Volume 2006 | Article ID 058532 | https://doi.org/10.1155/DDNS/2006/58532

Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems

Wan-Tong Li,¹Can-Yun Huang,¹and Sui Sun Cheng²

Received01 May 2006

Accepted19 Jul 2006

Published28 Sept 2006

Abstract

Classification schemes for positive solutions of a class of second-order nonlinear difference systems are given in terms of their asymptotic magnitudes; and necessary as well as sufficient conditions for the existence of these solutions are also provided. Finally, some examples are given to illustrate the main results.

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Copyright © 2006 Wan-Tong Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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