On the global behavior of the nonlinear difference equation x n + 1 = f ( p n, x n − m, x n − t ( k + 1 ) + 1 )

Taixiang Sun and Hongjian Xi

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-12

Abstract:

We consider the following nonlinear difference equation: x n + 1 = f ( p n , x n − m , x n − t ( k + 1 ) + 1 ) , n = 0 , 1 , 2 , … , where m ∈ { 0 , 1 , 2 , … } and k , t ∈ { 1 , 2 , … } with 0 ≤ m < t ( k + 1 ) − 1 , the initial values x − t ( k + 1 ) + 1 , x − t ( k + 1 ) + 2 , … , x 0 ∈ ( 0 , + ∞ ) , and { p n } n = 0 ∞ is a positive sequence of the period k + 1 . We give sufficient conditions under which every positive solution of this equation tends to the period k + 1 solution.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2006/090625.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2006/090625.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:090625

DOI: 10.1155/DDNS/2006/90625

Access Statistics for this article

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