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On a Boundary Value Problem for the Gellerstedt Equation with a Singular Coefficient

M. Kh. RuzievRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, Republic of UzbekistanN. T. YuldashevaRomanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, Republic of Uzbekistan
Russian Mathematicsjournal2024en
ABI

Abstract

A problem with the Bitsadze–Samarskii and Frankl conditions for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle is studied. The correctness of the formulated problem is proved.

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