Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/15012
Title: Higher order difference equations with homogeneous governing functions nonincreasing in each variable with unbounded solutions
Authors: Stević, Zoran
Ahmed A.
Iricanin, Bratislav
Kosmala W.
Issue Date: 2022
Abstract: By using a comparison method and some difference inequalities we show that the following higher order difference equation xn+k=1f(xn+k−1,…,xn),n∈N, where k∈ N, f: [0 , + ∞) k→ [0 , + ∞) is a homogeneous function of order strictly bigger than one, which is nondecreasing in each variable and satisfies some additional conditions, has unbounded solutions, presenting a large class of such equations. The class can be used as a useful counterexample in dealing with the boundedness character of solutions to some difference equations. Some analyses related to such equations and a global convergence result are also given.
URI: https://scidar.kg.ac.rs/handle/123456789/15012
Type: article
DOI: 10.1186/s13660-022-02811-2
ISSN: 1025-5834
SCOPUS: 2-s2.0-85131838606
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo

Page views(s)

103

Downloads(s)

3

Files in This Item:
File Description SizeFormat 
PaperMissing.pdf
  Restricted Access
29.85 kBAdobe PDFThumbnail
View/Open


Items in SCIDAR are protected by copyright, with all rights reserved, unless otherwise indicated.