ON PERIODIC SOLUTIONS OF LINEAR PARABOLIC PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Rubrics: MAIN CATEGORY
Authors:
1.
Federal'nyy issledovatel'skiy centr «Informatika i upravlenie» Rossiyskoy akademii nauk
Peoples’ Friendship University of Russia
Peoples’ Friendship University of Russia
Type:
Article
Pages:
from 7
to 11
Status:
Published
Received:
21.11.2022
Accepted:
29.11.2022
Published:
29.11.2022
Subject area:
UDK 517.1 Введение в анализ
Language:
English
Keywords:
nonlocal problem, parabolic equation, monotone operator.
Abstract (English):
A linear parabolic equation with nonlocal boundary conditions of the BitsadzeSamarsky type is considered. The existence and uniqueness theorem of the periodic solution is proved.
A linear parabolic equation with nonlocal boundary conditions of the BitsadzeSamarsky type is considered. The existence and uniqueness theorem of the periodic solution is proved.
Keywords:
nonlocal problem, parabolic equation, monotone operator.
nonlocal problem, parabolic equation, monotone operator.
1. BITSADZE A. V. AND SAMARSKII A. A. (1969) On some simple generalized linear elliptic problems. Dokl. Akad. Nauk SSSR. 185:4. p. 739-740.
2. SKUBACHEVSKII A. L. (1986) The first boundary value problem for strongly elliptic differential-difference equations. J. of Differential Equations. 63. p. 332-361.
3. SKUBACHEVSKII A. L. (1997) Elliptic Functional Differential Equations and Applications. Birkh¨auser, Basel-Boston-Berlin.
4. SKUBACHEVSKII A. L. (2016) Boundary-Value Problems for Elliptic Functional- Differential Equationa and its Applications. Russ.Math.Surv. 71:5. p. 801-906.
5. LIONS J.-L. (1969) Quelques m´ethodes de r´esolution des probl`emes aux limites nonlin´eaires. Dunod, Paris.
