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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 183–193
DOI: https://doi.org/10.33048/smzh.2019.60.115 (Mi smj3068) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On some inverse problems for first order operator-differential equations

S. G. Pyatkovab

a Yugra State University, Khanty-Mansiisk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (308 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2019.60.115
Abstract: We study solvability of the inverse problems of recovering an unknown function on the nonlinear right-hand side of a first order operator-differential equation in some Banach space. The equation is furnished with the Cauchy data, and the overdetermination condition is the value of some operator at a solution. The existence and uniqueness theorems local in time are established.
Keywords: operator-differential equation, Cauchy problem, inverse problem, existence of a solution, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00620_а
The author was supported by the Russian Foundation for Basic Research (Grant 18-01-00620a).
Received: 10.07.2018
Revised: 30.07.2018
Accepted: 17.08.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 140–147
DOI: https://doi.org/10.1134/S0037446619010154
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, “On some inverse problems for first order operator-differential equations”, Sibirsk. Mat. Zh., 60:1 (2019), 183–193; Siberian Math. J., 60:1 (2019), 140–147
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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