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Mat. Zametki, 2024 Volume 115, Issue 5, Pages 690–704 (Mi mzm14171)

On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations

A. V. Glushak

National Research University "Belgorod State University"

Abstract: Sufficient conditions are given for the unique solvability of nonlocal problems for abstract singular equations that are formulated in terms of the zeros of the modified Bessel function and the resolvent of the operator coefficient of the equations under consideration. Examples are presented.

Keywords: singular equations, nonlocal problem, unique solvability, modified Bessel function, resolvent.

UDC: 517.983.54

Received: 09.10.2023
Revised: 29.01.2024

DOI: 10.4213/mzm14171


 English version:
Mathematical Notes, 2024, 115:5, 706–718

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© Steklov Math. Inst. of RAS, 2025