Investigation of nonlocal boundary value problems shows well-posedness for elliptic equations, suggesting stability in solutions.
In this paper, we investigate a nonlocal boundary value problem (BVP) with the Samarskii–Ionkin condition for elliptic equations (EEs) in a Banach space involving a positive operator. The main result establishes the well-posedness of the problem. Additionally, coercive stability estimates are proven for solutions to three types of nonlocal BVPs with the Samarskii–Ionkin condition for EEs.
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A. Ashyralyev (2025) studied this question.
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