Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations Full article
| Journal |
Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
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| Output data | Year: 2023, Volume: 107, Number: 1, Pages: 40-43 Pages count : 4 DOI: 10.1134/s106456242370045x | ||||
| Tags | parabolic equations, Sobolev type equations, nonlocal problems, generalized Samarskii–Ionkin condition, regular solutions, existence, uniqueness | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
The solvability of spatially nonlocal boundary value problems for one-dimensional parabolic equations, as well as for some equations of the Sobolev type, is studied. We prove theorems on the existence and uniqueness of regular solutions, namely, solutions having all Sobolev generalized derivatives involved in the corresponding equation.
Cite:
Kozhanov A.I.
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations
Doklady Mathematics. 2023. V.107. N1. P.40-43. DOI: 10.1134/s106456242370045x WOS Scopus РИНЦ OpenAlex
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations
Doklady Mathematics. 2023. V.107. N1. P.40-43. DOI: 10.1134/s106456242370045x WOS Scopus РИНЦ OpenAlex
Original:
Кожанов А.И.
Нелокальные задачи с обобщенным условием Самарского–Ионкина для некоторых классов нестационарных дифференциальных уравнений
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2023. Т.509. №1. С.50-53. DOI: 10.31857/S2686954323700091 РИНЦ OpenAlex
Нелокальные задачи с обобщенным условием Самарского–Ионкина для некоторых классов нестационарных дифференциальных уравнений
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2023. Т.509. №1. С.50-53. DOI: 10.31857/S2686954323700091 РИНЦ OpenAlex
Dates:
| Submitted: | Sep 2, 2022 |
| Accepted: | Dec 23, 2022 |
| Published print: | Jun 13, 2023 |
| Published online: | Jun 13, 2023 |
Identifiers:
| Web of science: | WOS:001009960500009 |
| Scopus: | 2-s2.0-85163051813 |
| Elibrary: | 61891154 |
| OpenAlex: | W4380490720 |