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 -