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A Problem with Local and Nonlocal Conditions on the Boundary of the Ellipticity Domain for a Mixed Type Equation

М. МирсабуровTermez State University, 43 Barkamol avlod str., 190111, Termez, Republic of UzbekistanN. Kh. KhurramovTermez State University, 43 Barkamol avlod str., 190111, Termez, Republic of Uzbekistan
Russian Mathematicsjournal2021en
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Аннотация

For the Gellerstedt equation with a singular coefficient in some mixed domain, when the ellipticity boundary coincides with the segment of the Oy axis and the normal curve of the equation, a problem with the Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line is studied. The well-posedness of the formulated problem is proved.

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