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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| Published in: | Functional Materials |
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| Date: | 2014 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
НТК «Інститут монокристалів» НАН України
2014
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120490 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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.
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| ISSN: | 1027-5495 |