Methods of constructing basis in solving inverse problems

• Published in: Functional Materials
• Date: 2014
• Main Authors: Mozgovoy, A.V., Abramchuk, V.S., Abramchuk, I.V.
• Format: Article
• Language: English
• Published: НТК «Інститут монокристалів» НАН України 2014
• Subjects: Modeling and simulation
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/120490
• 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.

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...