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A nonlocal boundary-value problem with the Bitsadze-Samarskii conditon for a parabolic-hyperbolic equation of the second kind

M. S. SalakhitdinovNational University of Uzbekistan, Vuzgorodok, Tashkent, 100174, Republic of UzbekistanN. B. IslamovTashkent State Economic University, ul. Uzbekistan 49, Tashkent, 100003, Republic of Uzbekistan
Russian Mathematicsjournal2015en
ABI

Abstract

We prove the unique solvability of a nonlocal boundary-value problem for a degenerate parabolic-hyperbolic equation of the second kind in the case when a nonlocal boundary condition is specified on the first part of the characteristic, while the Bitsadze-Samarskii condition is specified on the second part and on the parallel characteristic.

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