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On divergence of any order cesaaro mean of lotka-volterra operators

Based on some numerical calculations, S.M. Ulam has conjectured that the ergodic theorem holds true for any quadratic stochastic operator acting on the finite dimensional simplex. However, M.I. Zakharevich showed that Ulam's conjecture is false in general. Later, N.N. Ganikhodjaev and D.V. Zani...

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Main Author: Saburov, Mansoor
Format: Article
Language:English
Published: Tusi Mathematical Research Group 2015
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/45053/1/Cesaro_Mean_of_LV_Operator_----_AFA.pdf
http://irep.iium.edu.my/45053/
http://www.emis.de/journals/AFA/
http://doi.org/10.15352/afa/06-4-247
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spelling my.iium.irep.450532017-08-16T08:28:18Z http://irep.iium.edu.my/45053/ On divergence of any order cesaaro mean of lotka-volterra operators Saburov, Mansoor QA Mathematics Based on some numerical calculations, S.M. Ulam has conjectured that the ergodic theorem holds true for any quadratic stochastic operator acting on the finite dimensional simplex. However, M.I. Zakharevich showed that Ulam's conjecture is false in general. Later, N.N. Ganikhodjaev and D.V. Zanin have generalized Zakharevich's example in the class of quadratic stochastic Volterra operators acting on 2D simplex. In this paper, we provide a class of Lotka-Volterra operators for which any order Cesáaro mean diverges. This class of Lotka-Volterra operators encompasses all previously presented operators in this context. Tusi Mathematical Research Group 2015 Article REM application/pdf en http://irep.iium.edu.my/45053/1/Cesaro_Mean_of_LV_Operator_----_AFA.pdf Saburov, Mansoor (2015) On divergence of any order cesaaro mean of lotka-volterra operators. Annals of Functional Analysis, 6 (4). pp. 247-254. ISSN 2008-8752 (O) http://www.emis.de/journals/AFA/ http://doi.org/10.15352/afa/06-4-247
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Saburov, Mansoor
On divergence of any order cesaaro mean of lotka-volterra operators
description Based on some numerical calculations, S.M. Ulam has conjectured that the ergodic theorem holds true for any quadratic stochastic operator acting on the finite dimensional simplex. However, M.I. Zakharevich showed that Ulam's conjecture is false in general. Later, N.N. Ganikhodjaev and D.V. Zanin have generalized Zakharevich's example in the class of quadratic stochastic Volterra operators acting on 2D simplex. In this paper, we provide a class of Lotka-Volterra operators for which any order Cesáaro mean diverges. This class of Lotka-Volterra operators encompasses all previously presented operators in this context.
format Article
author Saburov, Mansoor
author_facet Saburov, Mansoor
author_sort Saburov, Mansoor
title On divergence of any order cesaaro mean of lotka-volterra operators
title_short On divergence of any order cesaaro mean of lotka-volterra operators
title_full On divergence of any order cesaaro mean of lotka-volterra operators
title_fullStr On divergence of any order cesaaro mean of lotka-volterra operators
title_full_unstemmed On divergence of any order cesaaro mean of lotka-volterra operators
title_sort on divergence of any order cesaaro mean of lotka-volterra operators
publisher Tusi Mathematical Research Group
publishDate 2015
url http://irep.iium.edu.my/45053/1/Cesaro_Mean_of_LV_Operator_----_AFA.pdf
http://irep.iium.edu.my/45053/
http://www.emis.de/journals/AFA/
http://doi.org/10.15352/afa/06-4-247
_version_ 1643612703285051392
score 13.211869

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