Recurrence equations over trees in a non-Archimedean context

In the present paper we study recurrence equations over k-ary trees. Namely, each equation is assigned to a vertex of the tree, and they are generated by contractive functions defined on an arbitrary non-Archimedean algebra. The main result of this paper states that the given equations have at most...

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Main Author:	Mukhamedov, Farrukh
Format:	Article
Language:	English English
Published:	Pleiades Publishing, Ltd 2014
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/4/41308_Recurrence%20equations_scopus.pdf http://irep.iium.edu.my/41308/10/41308_Recurrence%20equations%20over%20trees.pdf

id	iium-41308
recordtype	eprints
spelling	iium-413082017-09-26T01:46:11Z http://irep.iium.edu.my/41308/ Recurrence equations over trees in a non-Archimedean context Mukhamedov, Farrukh QA Mathematics In the present paper we study recurrence equations over k-ary trees. Namely, each equation is assigned to a vertex of the tree, and they are generated by contractive functions defined on an arbitrary non-Archimedean algebra. The main result of this paper states that the given equations have at most one solution. Moreover, we also provide the existence of unique solution of the equations. We should stress that the non-Archimedeanity of the algebra is essentially used, therefore, the methods applied in the present paper are not valid in the Archimedean setting. Pleiades Publishing, Ltd 2014-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/41308/4/41308_Recurrence%20equations_scopus.pdf application/pdf en http://irep.iium.edu.my/41308/10/41308_Recurrence%20equations%20over%20trees.pdf Mukhamedov, Farrukh (2014) Recurrence equations over trees in a non-Archimedean context. p-Adic Numbers, Ultrametric Analysis and Applications, 6 (4). pp. 310-317. ISSN 2070-0466 E-ISSN 2070-0474 http://link.springer.com/article/10.1134%2FS2070046614040062 10.1134/S2070046614040062
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Mukhamedov, Farrukh Recurrence equations over trees in a non-Archimedean context
description	In the present paper we study recurrence equations over k-ary trees. Namely, each equation is assigned to a vertex of the tree, and they are generated by contractive functions defined on an arbitrary non-Archimedean algebra. The main result of this paper states that the given equations have at most one solution. Moreover, we also provide the existence of unique solution of the equations. We should stress that the non-Archimedeanity of the algebra is essentially used, therefore, the methods applied in the present paper are not valid in the Archimedean setting.
format	Article
author	Mukhamedov, Farrukh
author_facet	Mukhamedov, Farrukh
author_sort	Mukhamedov, Farrukh
title	Recurrence equations over trees in a non-Archimedean context
title_short	Recurrence equations over trees in a non-Archimedean context
title_full	Recurrence equations over trees in a non-Archimedean context
title_fullStr	Recurrence equations over trees in a non-Archimedean context
title_full_unstemmed	Recurrence equations over trees in a non-Archimedean context
title_sort	recurrence equations over trees in a non-archimedean context
publisher	Pleiades Publishing, Ltd
publishDate	2014
url	http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/ http://irep.iium.edu.my/41308/4/41308_Recurrence%20equations_scopus.pdf http://irep.iium.edu.my/41308/10/41308_Recurrence%20equations%20over%20trees.pdf
first_indexed	2023-09-18T20:59:11Z
last_indexed	2023-09-18T20:59:11Z
_version_	1777410508199034880

Recurrence equations over trees in a non-Archimedean context

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