On surjective second order non-linear Markov operators and associated nonlinear integral equations

It was known that orthogonality preserving property and surjectivity of nonlinear Markov operators, acting on finite dimensional simpleces, are equivalent. It turns out that these notions are no longer equivalent when such kind of operators are considered over on infinite dimensional spaces. In the...

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Main Authors:	Mukhamedov, Farrukh, Khakimov, Otabek, Embong, Ahmad Fadillah
Format:	Article
Language:	English English English
Published:	Springer International Publishing 2018
Subjects:	Q Science (General)
Online Access:	http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/1/65239_On%20surjective%20second%20order%20non-linear%20Markov%20operators_Publisher%27s%20website.pdf http://irep.iium.edu.my/65239/14/65239%20On%20surjective%20second%20order%20non-linear%20SCOPUS.pdf http://irep.iium.edu.my/65239/13/65239%20On%20surjective%20second%20order%20non-linear%20WOS.pdf

id	iium-65239
recordtype	eprints
spelling	iium-652392019-01-30T03:12:16Z http://irep.iium.edu.my/65239/ On surjective second order non-linear Markov operators and associated nonlinear integral equations Mukhamedov, Farrukh Khakimov, Otabek Embong, Ahmad Fadillah Q Science (General) It was known that orthogonality preserving property and surjectivity of nonlinear Markov operators, acting on finite dimensional simpleces, are equivalent. It turns out that these notions are no longer equivalent when such kind of operators are considered over on infinite dimensional spaces. In the present paper, we find necessary and sufficient condition to be equivalent of these notions, for the second order nonlinear Markov operators. To do this, we fully describe all surjective second order nonlinear Markov operators acting on infinite dimensional simplex. As an application of this result, we provided some sufficient conditions for the existence of positive solutions of nonlinear integral equations whose domain are not compact. Springer International Publishing 2018-05-21 Article NonPeerReviewed application/pdf en http://irep.iium.edu.my/65239/1/65239_On%20surjective%20second%20order%20non-linear%20Markov%20operators_Publisher%27s%20website.pdf application/pdf en http://irep.iium.edu.my/65239/14/65239%20On%20surjective%20second%20order%20non-linear%20SCOPUS.pdf application/pdf en http://irep.iium.edu.my/65239/13/65239%20On%20surjective%20second%20order%20non-linear%20WOS.pdf Mukhamedov, Farrukh and Khakimov, Otabek and Embong, Ahmad Fadillah (2018) On surjective second order non-linear Markov operators and associated nonlinear integral equations. Positivity. pp. 1-15. ISSN 1385-1292 E-ISSN 1572-9281 (In Press) https://link.springer.com/article/10.1007/s11117-018-0587-0 10.1007/s11117-018-0587-0
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	Q Science (General)
spellingShingle	Q Science (General) Mukhamedov, Farrukh Khakimov, Otabek Embong, Ahmad Fadillah On surjective second order non-linear Markov operators and associated nonlinear integral equations
description	It was known that orthogonality preserving property and surjectivity of nonlinear Markov operators, acting on finite dimensional simpleces, are equivalent. It turns out that these notions are no longer equivalent when such kind of operators are considered over on infinite dimensional spaces. In the present paper, we find necessary and sufficient condition to be equivalent of these notions, for the second order nonlinear Markov operators. To do this, we fully describe all surjective second order nonlinear Markov operators acting on infinite dimensional simplex. As an application of this result, we provided some sufficient conditions for the existence of positive solutions of nonlinear integral equations whose domain are not compact.
format	Article
author	Mukhamedov, Farrukh Khakimov, Otabek Embong, Ahmad Fadillah
author_facet	Mukhamedov, Farrukh Khakimov, Otabek Embong, Ahmad Fadillah
author_sort	Mukhamedov, Farrukh
title	On surjective second order non-linear Markov operators and associated nonlinear integral equations
title_short	On surjective second order non-linear Markov operators and associated nonlinear integral equations
title_full	On surjective second order non-linear Markov operators and associated nonlinear integral equations
title_fullStr	On surjective second order non-linear Markov operators and associated nonlinear integral equations
title_full_unstemmed	On surjective second order non-linear Markov operators and associated nonlinear integral equations
title_sort	on surjective second order non-linear markov operators and associated nonlinear integral equations
publisher	Springer International Publishing
publishDate	2018
url	http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/ http://irep.iium.edu.my/65239/1/65239_On%20surjective%20second%20order%20non-linear%20Markov%20operators_Publisher%27s%20website.pdf http://irep.iium.edu.my/65239/14/65239%20On%20surjective%20second%20order%20non-linear%20SCOPUS.pdf http://irep.iium.edu.my/65239/13/65239%20On%20surjective%20second%20order%20non-linear%20WOS.pdf
first_indexed	2023-09-18T21:32:34Z
last_indexed	2023-09-18T21:32:34Z
_version_	1777412608431751168

On surjective second order non-linear Markov operators and associated nonlinear integral equations

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