On a class of difference equations with interlacing indices

Abstract Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented. We also present a natural connection among these difference equ...

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Main Authors:	Stevo Stević, A. El-Sayed Ahmed, Witold Kosmala, Zdeněk Šmarda
Format:	Article
Language:	English
Published:	SpringerOpen 2021-06-01
Series:	Advances in Difference Equations
Subjects:	Difference equations Equations with interlacing indices Positive solutions
Online Access:	https://doi.org/10.1186/s13662-021-03452-3

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spelling	doaj-aeb9a1caa32f4644862307c36538ec332021-06-20T11:44:04ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021111610.1186/s13662-021-03452-3On a class of difference equations with interlacing indicesStevo Stević0A. El-Sayed Ahmed1Witold Kosmala2Zdeněk Šmarda3Mathematical Institute of the Serbian Academy of Sciences and ArtsMathematics Department, Faculty of Science, Taif UniversityDepartment of Mathematical Sciences, Appalachian State UniversityFaculty of Electrical Engineering and Communication, Department of Mathematics, Brno University of TechnologyAbstract Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented. We also present a natural connection among these difference equations, compare some results on the equations with some other ones in the literature, and give a list of a considerable number of difference equations which can be treated in a similar way.https://doi.org/10.1186/s13662-021-03452-3Difference equationsEquations with interlacing indicesPositive solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Stevo Stević A. El-Sayed Ahmed Witold Kosmala Zdeněk Šmarda
spellingShingle	Stevo Stević A. El-Sayed Ahmed Witold Kosmala Zdeněk Šmarda On a class of difference equations with interlacing indices Advances in Difference Equations Difference equations Equations with interlacing indices Positive solutions
author_facet	Stevo Stević A. El-Sayed Ahmed Witold Kosmala Zdeněk Šmarda
author_sort	Stevo Stević
title	On a class of difference equations with interlacing indices
title_short	On a class of difference equations with interlacing indices
title_full	On a class of difference equations with interlacing indices
title_fullStr	On a class of difference equations with interlacing indices
title_full_unstemmed	On a class of difference equations with interlacing indices
title_sort	on a class of difference equations with interlacing indices
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2021-06-01
description	Abstract Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented. We also present a natural connection among these difference equations, compare some results on the equations with some other ones in the literature, and give a list of a considerable number of difference equations which can be treated in a similar way.
topic	Difference equations Equations with interlacing indices Positive solutions
url	https://doi.org/10.1186/s13662-021-03452-3
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On a class of difference equations with interlacing indices

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