Asymptotic Convergence of the Solutions of a Discrete Equation with Two Delays in the Critical Case

A discrete equation Δy(n)=β(n)[y(n−j)−y(n−k)] with two integer delays k and j, k>j≥0 is considered for n→∞. We assume β:ℤn0−k∞→(0,∞), where ℤn0∞={n0,n0+1,…},  n0∈ℕ and n∈ℤn0∞. Criteria for the existence of strictly monotone and asymptotically convergent solutions for n→∞ are presented in terms of...

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Bibliographic Details
Main Authors: L. Berezansky, J. Diblík, M. Růžičková, Z. Šutá
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/709427
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