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
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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
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