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

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.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-06-11
DOI
https://doi.org/10.29229/uzmj.2025-2-4
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

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

Allaberen Ashyralyev, Makhmud Abdysametovich Sadybekov
Uzbek Mathematical Journal
Differential Equations and Boundary Problems
article

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

Allaberen Ashyralyev, Makhmud Abdysametovich Sadybekov
article en

Abstract

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.

Uzbek Mathematical JournalVol. 69(2)
Openalex Percentile: Top 81%
Differential Equations and Boundary Problems
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A note on the NBVP with Samarskii-Ionkin condition I for elliptic equations — Allaberen Ashyralyev, Makhmud Abdysametovich Sadybekov · Uzbek Mathematical Journal (2025) | TGRS Research Map | TGRS