Research output: Contribution to journal › Article › peer-review
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations. / Kozhanov, A. I.
In: Doklady Mathematics, Vol. 107, No. 1, 02.2023, p. 40-43.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations
AU - Kozhanov, A. I.
N1 - This work was supported by the Mathematical Center in Akademgorodok, agreement no. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.
PY - 2023/2
Y1 - 2023/2
N2 - 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.
AB - 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.
KW - Sobolev type equations
KW - existence
KW - generalized Samarskii–Ionkin condition
KW - nonlocal problems
KW - parabolic equations
KW - regular solutions
KW - uniqueness
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85163051813&origin=inward&txGid=80bae39426c15ecc33b5c00bfc02d076
UR - https://www.mendeley.com/catalogue/7c9a228b-c7ac-33bc-9860-ef8bced145ef/
U2 - 10.1134/S106456242370045X
DO - 10.1134/S106456242370045X
M3 - Article
VL - 107
SP - 40
EP - 43
JO - Doklady Mathematics
JF - Doklady Mathematics
SN - 1064-5624
IS - 1
ER -
ID: 59242068