A problem with the Frankl and Bitsadze-Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation
M. Kh. RuzievInstitute of Mathematics and Information Technologies, National Academy of Sciences of Republic of Uzbekistan, ul. Durman yuli 29, Tashkent, 100125, Republic of Uzbekistan
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Annotatsiya
In this paper we study the boundary-value problem with the Frankl and Bitsadze-Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation with a singular coefficient. We prove the existence of a solution by the method of integral equations, and we do its uniqueness with the help of the extremum principle.
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