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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 417–421
DOI: https://doi.org/10.33048/smzh.2021.62.212 (Mi smj7564) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Unique solvability of a linear parabolic problem with nonlocal time data

V. N. Starovoitovab

a Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (338 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2021.62.212
Abstract: We consider a problem for a first-order differential equation in a Hilbert space. We replace the initial data with some condition that includes the integral of the solution over the entire time interval on which we solve the problem. It is proved that the problem has a unique solution on an arbitrary time interval under the condition that some of the data are positive.
Keywords: differential equation in a Hilbert space, nonlocal time data, uniqueness of solution, solvability.
Received: 20.07.2020
Revised: 20.07.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 337–340
DOI: https://doi.org/10.1134/S0037446621020129
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: V. N. Starovoitov, “Unique solvability of a linear parabolic problem with nonlocal time data”, Sibirsk. Mat. Zh., 62:2 (2021), 417–421; Siberian Math. J., 62:2 (2021), 337–340
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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