On positive solutions of some classes of max-type systems of difference equations

Stevo Stević

Applied Mathematics and Computation, 2014, vol. 232, issue C, 445-452

Abstract: Global attractivity results on positive solutions of some special cases of the next max-type system of difference equationsxn(i)=max1,xn-l1(i)(i)p1(i)∏j1=1m1(i)xn-λj1(i1)(sj1(i1))qj1(i1),…,xn-lri(i)(i)pri(i)∏jri=1mri(i)xn-λjri(iri)(sjri(iri))qjri(iri),n∈N0,where ri∈N,i=1,k‾,k∈N, sjt(it)∈{1,…,k},qjt(it)⩾0, i=1,k‾,t∈{1,…,ri} and pj(i)∈[0,1], mj(i)∈N,i=1,k‾,j=1,ri‾, are presented. We also present some results on the behavior of positive solutions of the difference equation xn=max{p1xn-1,…,pkxn-k}, where pj,j=1,k‾ are nonnegative numbers.

Keywords: System of difference equations; Global attractivity; Eventually constant solutions; Max-type difference equation (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300313014161
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:232:y:2014:i:c:p:445-452

DOI: 10.1016/j.amc.2013.12.126

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().