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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, Volume 18, Issue 3, Pages 328–333
DOI: https://doi.org/10.18500/1816-9791-2018-18-3-328-333 (Mi isu767) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Scientific Part
Mathematics

On inverse problem for differential operators with deviating argument

V. A. Yurko

Saratov State University, 83, Astrakhanskaya Str., Saratov, 410012, Russia
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DOI: https://doi.org/10.18500/1816-9791-2018-18-3-328-333
Abstract: Second-order functional differential operators with a constant delay are considered. Properties of their spectral characteristics are obtained, and a nonlinear inverse spectral problem is studied, which consists in constructing operators from their spectra. We establish the uniqueness and develop a constructive procedure for solution of the inverse problem.
Key words: differential operators, deviating argument, inverse spectral problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1660.2017/4.6
Russian Foundation for Basic Research 16-01-00015
17-51-53180
This work was supported by the Ministry of Education and Science of the Russian Federation (project nos. 1.1660.2017/4.6) and by the Russian Foundation for Basic Research (projects nos. 16-01-00015, 17-51-53180).
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: English
Citation: V. A. Yurko, “On inverse problem for differential operators with deviating argument”, Izv. Saratov Univ. Math. Mech. Inform., 18:3 (2018), 328–333
Citation in format AMSBIB
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\paper On inverse problem for differential operators with deviating argument
\jour Izv. Saratov Univ. Math. Mech. Inform.
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\vol 18
\issue 3
\pages 328--333
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    • This publication is cited in the following 1 articles:
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