On a Class of Nonautonomous Max‐Type Difference Equations

Wanping Liu, Xiaofan Yang and Stevo Stević

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: This paper addresses the max‐type difference equation xn=max{fn/xn−kα,B/xn−mβ}, n ∈ ℕ0, where k, m ∈ ℕ, B > 0, and (fn) n∈ℕ0 is a positive sequence with a finite limit. We prove that every positive solution to the equation converges to max{(limn→∞fn)1/(α+1),B1/(β+1)} under some conditions. Explicit positive solutions to two particular cases are also presented.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2011/436852

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:wly:jnlaaa:v:2011:y:2011:i:1:n:436852

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().