Methods of constructing basis in solving inverse problems

The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and i...

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Veröffentlicht in:Functional Materials
Datum:2014
Hauptverfasser: Mozgovoy, A.V., Abramchuk, V.S., Abramchuk, I.V.
Format: Artikel
Sprache:English
Veröffentlicht: НТК «Інститут монокристалів» НАН України 2014
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/120490
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-120490
record_format dspace
spelling Mozgovoy, A.V.
Abramchuk, V.S.
Abramchuk, I.V.
2017-06-12T08:10:37Z
2017-06-12T08:10:37Z
2014
Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ.
1027-5495
DOI: dx.doi.org/10.15407/fm21.04.457
https://nasplib.isofts.kiev.ua/handle/123456789/120490
The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and inverse problems), to process the experimentaldata, to identify the systems, to specify mathematical models of the objects and processes, to optimize the designing projects with specified characteristics, to prognosticate natural phenomena.
en
НТК «Інститут монокристалів» НАН України
Functional Materials
Modeling and simulation
Methods of constructing basis in solving inverse problems
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Methods of constructing basis in solving inverse problems
spellingShingle Methods of constructing basis in solving inverse problems
Mozgovoy, A.V.
Abramchuk, V.S.
Abramchuk, I.V.
Modeling and simulation
title_short Methods of constructing basis in solving inverse problems
title_full Methods of constructing basis in solving inverse problems
title_fullStr Methods of constructing basis in solving inverse problems
title_full_unstemmed Methods of constructing basis in solving inverse problems
title_sort methods of constructing basis in solving inverse problems
author Mozgovoy, A.V.
Abramchuk, V.S.
Abramchuk, I.V.
author_facet Mozgovoy, A.V.
Abramchuk, V.S.
Abramchuk, I.V.
topic Modeling and simulation
topic_facet Modeling and simulation
publishDate 2014
language English
container_title Functional Materials
publisher НТК «Інститут монокристалів» НАН України
format Article
description The paper suggests theoretical bases for building the complete systems of the Taylor-type basic elements with dense range of derivatives of positive, negative and fractional orders. This enables to explore the qualitative behavior of the solutions to differential and integral equations (direct and inverse problems), to process the experimentaldata, to identify the systems, to specify mathematical models of the objects and processes, to optimize the designing projects with specified characteristics, to prognosticate natural phenomena.
issn 1027-5495
url https://nasplib.isofts.kiev.ua/handle/123456789/120490
citation_txt Methods of constructing basis in solving inverse problems / A.V. Mozgovoy, V.S. Abramchuk, I.V. Abramchuk // Functional Materials. — 2014. — Т. 21, № 4. — С. 457-462. — Бібліогр.: 16 назв. — англ.
work_keys_str_mv AT mozgovoyav methodsofconstructingbasisinsolvinginverseproblems
AT abramchukvs methodsofconstructingbasisinsolvinginverseproblems
AT abramchukiv methodsofconstructingbasisinsolvinginverseproblems
first_indexed 2025-12-07T18:12:07Z
last_indexed 2025-12-07T18:12:07Z
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