Дальневосточный математический журнал1608-845X10.47910/FEMJ202614OtherУстойчивость решений краевых задач сложного теплообмена с граничными условиями КошиStability of solutions of boundary value problems of complex heat transfer with Cauchy boundary conditionsЧеботаревА. Ю.ChebotarevA. Y.cheb@iam.dvo.ruhttps://orcid.org/0000-0002-6456-9138Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of SciencesVladivostokRussiaИнститут прикладной математики Дальневосточного отделения Российской академии наукВладивостокРоссия150620262611331391607202507112025https://creativecommons.org/licenses/by/4.0/CC BY 4.0http://femj.iam.dvo.ru/periodical.php?art=581

Доказана нелокальная (без ограничений малости) разрешимость неоднородной краевой задачи сложного теплообмена с граничными условиями для температуры. Установлено условие единственности и устойчивости решения.

The non-local (without smallness restrictions) solvability of the non-homogeneous boundary value problem of complex heat exchange with boundary conditions for temperature is proved. The condition of uniqueness and stability of the solution is established.

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