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Mathematical notes of NEFU, 2025, Volume 32, Issue 2, Pages 24–34 (Mi svfu459)

Mathematics

General solution of overdetermined system of integral equations with singular kernels in form of generalized degree series over cylindrical domain

N. R. Radjabov, L. N. Rajabova

Tajik National University, Dushanbe

Abstract: A redefined system of integral equations with singular kernels consisting of Volterra type integral equation with a special line and singular integral equation of Vekua type on the lower base of a cylinder is considered, for which an explicit solution is found, conditions of jointness are determined, properties of solutions are studied and Cauchy type problems are posed and solved.

Keywords: overdetermined system of integral equations, cylindrical region, side surface, singular kernels

UDC: 517.968.220

Received: 10.04.2025
Accepted: 27.05.2025

DOI: 10.25587/2411-9326-2025-2-24-34



© Steklov Math. Inst. of RAS, 2026