On the Global Asymptotic Stability of a Second-Order System of Difference Equations

Ibrahim Yalcinkaya

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-12

Abstract:

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations 𠑧 𠑛 + 1 = ( 𠑡 𠑛 𠑧 𠑛 − 1 + 𠑎 ) / ( 𠑡 𠑛 + 𠑧 𠑛 − 1 ) , 𠑡 𠑛 + 1 = ( 𠑧 𠑛 𠑡 𠑛 − 1 + 𠑎 ) / ( 𠑧 𠑛 + 𠑡 𠑛 − 1 ) , 𠑛 = 0 , 1 , 2 , … , where the parameter 𠑎 𠜖 ( 0 , ∞ ) and the initial values ( 𠑧 𠑘 , 𠑡 𠑘 ) 𠜖 ( 0 , ∞ ) (for 𠑘 = − 1 , 0 ) .

Date: 2008
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2008/860152.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2008/860152.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:860152

DOI: 10.1155/2008/860152

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().