Asymptotic Stability for a Class of Nonlinear Difference Equations

Chang-you Wang, Shu Wang, Zhi-wei Wang, Fei Gong and Rui-fang Wang

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-10

Abstract:

We study the global asymptotic stability of the equilibrium point for the fractional difference equation ð ‘¥ ð ‘› + 1 = ( ð ‘Ž ð ‘¥ ð ‘› − ð ‘™ ð ‘¥ ð ‘› − 𠑘 ) / ( ð ›¼ + ð ‘ ð ‘¥ ð ‘› − ð ‘ + ð ‘ ð ‘¥ ð ‘› − ð ‘¡ ) , ð ‘› = 0 , 1 , … , where the initial conditions ð ‘¥ − ð ‘Ÿ , ð ‘¥ − ð ‘Ÿ + 1 , … , ð ‘¥ 1 , ð ‘¥ 0 are arbitrary positive real numbers of the interval ( 0 , ð ›¼ / 2 ð ‘Ž ) , ð ‘™ , 𠑘 , ð ‘ , ð ‘¡ are nonnegative integers, ð ‘Ÿ = m a x { ð ‘™ , 𠑘 , ð ‘ , ð ‘¡ } and ð ›¼ , ð ‘Ž , ð ‘ , ð ‘ are positive constants. Moreover, some numerical simulations are given to illustrate our results.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2010/791610.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2010/791610.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:791610

DOI: 10.1155/2010/791610

Access Statistics for this article

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