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Конференция, посвящённая 70-летию А. Л. Скубачевского
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On the well-posedness of the nonlocal boundary value problem with Samarskii–Ionkin condition for the elliptic differential equations А.Ашыралыевabc a Bahçesehir University b Российский университет дружбы народов имени Патриса Лумумбы, г. Москва c Институт математики и математического моделирования Министерства образования и науки Республики Казахстан, г. Алматы |
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Аннотация: Elliptic partial differential equations have applications in almost all areas of mathematics, from harmonic analysis to geometry to Lie theory, as well as numerous applications in physics and engineering. The well-posedness of the local and nonlocal boundary-value problems for the elliptic equation in a Banach space with the positive operator and its related applications have been investigated by many researchers (see, e.g., [1–4] and the references given therein). Recently, various nonlocal boundary-value problems with Samatskii–Ionkin condition for partial differential equations have been investigated by many researchers (see, e.g., [5, 6] and the references given therein). In the present paper, the well-posedness of the nonlocal boundary-value problem with Samarskii– Ionkin condition for elliptic equations in a Banach space with a strongly positive operator is established. In practice, the coercive stability estimates for the solution of four types of nonlocal boundary-value problems with Samatskii–Ionkin condition for elliptic differential equations are proved. Список литературы
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