ABOUT A NONLOCAL BOUNDARY-VALUE PROBLEM FOR ELLIPTIC DIFFERENTIAL EQUATIONS WITH SAMARSKII–IONKIN CONDITIONS OF INTEGRAL TYPE

Ashyralyev A. Hamad A.
September 2025 Springer

Journal of Mathematical Sciences (United States)
2025 #293 Issue 4 441 - 456 pp.

In this paper, we study one abstract nonlocal boundary-value problem with Samarskii–Ionkin conditions of integral type for the differential equation of elliptic type (Formula presented.) in an arbitrary Banach space E, where the operator A is positive. We establish well-posedness of this problem in various Banach spaces. We prove theorems on the well-posedness of several nonlocal boundary-value problems for elliptic equations with Samarskii–Ionkin conditions of integral type as an application.

Boundary-value problem , Elliptic differential equation , Integral type Samarskii–Ionkin conditions , Nonlocal problem , Well-posedness

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Bahcesehir University, Istanbul, Turkey
RUDN University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
University of Benghazi, Elmarj, Libya

Bahcesehir University
RUDN University
Institute of Mathematics and Mathematical Modeling
University of Benghazi

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