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Bayzaew Sattor	ON ONE BOUNDARY-VALUE PROBLEM FOR SOME CLASSES OF COMPOSITE-TYPE SYSTEMS	37

Authors: Bayzaew Sattor - Doctor of Physical and Mathematical Sciences, Professor of the Department of Mathematics and Modern Natural Science under Tajik State University of Law, Business and Politics (Tajikistan Republic, Khujand), Fayziev Mubinjon Gafarovich - Senior Lecturer of the Department of Informatics and Computational Mathematics Science under Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand)

JOURNAL NUMBER: 2(57). YEAR OF ISSUE: 2021. LANGUAGE OF THE ARTICLE: Russian

ANNOTATION

In this paper, we consider a system of partial differential equations of the form

and its generalizations

in the half-space It is proved that the component s of the solution to the system (*) satisfies the wave equation, and the vector component U is a solution to the Poisson system. Further, for the system (*) solutions representations are constructed. Initial problems are solved for both systems.

KEY WORDS

systems of equations of composite (nonclassical) type, vector function, characteristic form, Schwarz space, Fourier transform, wave equation, system of Poisson equations.

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