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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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The Influence of Non-isolated Singularities in the Lowest Coefficient of the Generalized Cauchy-riemann Equation on the Formulation of Boundary Value Problems

Author(s):

Abdurauf Babajanovich Rasulov

Doctor of Physical and Mathematical Sciences, Professor of the Department of Higher Mathematics, National Research University "Moscow Power Engineering Institute"

rasulzoda55@gmail.com

Abstract:

The article reveals the effect of the influence of pairwise non-intersecting and not passing through the origin of coordinates of non-isolated singularities in the lowest coefficient of the generalized Cauchy-Riemann equation on the formulation of boundary value problems. The condition at the boundary of the region turned out to be insufficient to solve such problems. Therefore, we considered a case that combines elements of the Riemann-Hilbert problems on the boundary of a domain and linear conjugation on the surrounding area.

Keywords

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