Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations
- Čermák, Jan
- Dvořáková, Stanislava
Publication date
May 2012
DOI Publisher
Elsevier Ltd. ISSN
0893-9659 Citation count (estimate)
2Abstract
AbstractThis paper discusses some asymptotic properties of the delay difference equation Δy(n)=a(n)y(n)+∑i=1kbi(n)|y(τi(n))|risgny(τi(n)),0<ri≤1. First, we briefly mention some known qualitative properties of this equation. Further, as the main result, we present an asymptotic estimate of its solutions which is derived in the case not considered by the other authors. Applications of this result to particular cases conclude the paper
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