TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS TAURIDA JOURNAL OF COMPUTER SCIENCE THEORY AND MATHEMATICS Таврический Вестник Информатики и Математики 1729-3901 55190 10.29039/1729-3901-2021-20-2-7-11 Основная рубрика Main category Основная рубрика On periodic solutions of linear parabolic problems with nonlocal boundary conditions On periodic solutions of linear parabolic problems with nonlocal boundary conditions Solonukha O. V. Solonukha O. V. Федеральный исследовательский центр «Информатика и управление» Российской академии наук Россия Федеральный исследовательский центр «Информатика и управление» Российской академии наук Russian Federation Российский университет дружбы народов Peoples’ Friendship University of Russia 29 11 2022 29 11 2022 2 7 11 21 11 2022 http://tvim.info/en/node/1066

Рассмотрено линейное параболическое уравнение с нелокальными краевыми условиями типа Бицадзе—Самарского. Доказана теорема существования и единственности периодического решения.

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.

 нелокальная задача параболическое уравнение монотонный оператор nonlocal problem parabolic equation monotone operator.

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