A note on the NBVP with Samarskii-Ionkin condition I for elliptic equations


Ashyralyev A. Sadybekov M.A.
2025Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan

Uzbek Mathematical Journal
2025#69Issue 238 - 53 pp.

In the present paper, the nonlocal boundary value problem with Samarskii-Ionkin condition I for elliptic equations in a Banach space with the positive operator is investigated. The main theorems on well-posedness of this problem are established. In practice, the coercive stability estimates for solution of four types of nonlocal boundary value problems with Samarskii-Ionkin condition I for elliptic differential equations are proved.

coercive stability , elliptic equations , positive operator , Samarskii-Ionkin condition , well-posedness

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Department of Mathematics, Bahcesehir University, Istanbul, Turkey
Peoples Friendship University Russia, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Department of Mathematics
Peoples Friendship University Russia
Institute of Mathematics and Mathematical Modeling

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