Unique solvability of a linear parabolic problem with nonlocal time data Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 |
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| Output data | Year: 2021, Volume: 62, Number: 2, Pages: 337–340 Pages count : DOI: 10.1134/S0037446621020129 | ||||
| Tags | 517.954; differential equation in a Hilbert space; nonlocal time data; solvability; uniqueness of solution | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
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.
Cite:
Starovoitov V.N.
Unique solvability of a linear parabolic problem with nonlocal time data
Siberian Mathematical Journal. 2021. V.62. N2. P.337–340. DOI: 10.1134/S0037446621020129 WOS Scopus РИНЦ OpenAlex
Unique solvability of a linear parabolic problem with nonlocal time data
Siberian Mathematical Journal. 2021. V.62. N2. P.337–340. DOI: 10.1134/S0037446621020129 WOS Scopus РИНЦ OpenAlex
Original:
Старовойтов В.Н.
Об однозначной разрешимости линейной параболической задачи с нелокальными по времени данными
Сибирский математический журнал. 2021. Т.62. №2. С.417-421. DOI: 10.33048/smzh.2021.62.212 РИНЦ OpenAlex
Об однозначной разрешимости линейной параболической задачи с нелокальными по времени данными
Сибирский математический журнал. 2021. Т.62. №2. С.417-421. DOI: 10.33048/smzh.2021.62.212 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000635714500012 |
| Scopus: | 2-s2.0-85103990490 |
| Elibrary: | 46781446 |
| OpenAlex: | W3144395355 |