Features of constructing a solution clausen-type systems

Nusrat Rajabov, Zh. N. Tasmambetov, Zh. K. Ubayeva

2022

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DOI 10.47533/2020.1606-146x.185

Data confidence 70 medium

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Abstract

We study the features of constructing solutions near a singularity of a regular homogeneous system consisting of two partial differential equations of the third order. A number of properties of the product of Clausen functions constructed near these singularities are proved. The features of the construction of the general solution of the Clausen system are investigated. Recently, special attention has begun to be removed on the solution of such systems, in connection with the research of multidimensional degenerate differential equations.