Geodesic
Nonlocal boundary-value problem with Bitsadze--Samarskii condition for equation of parabolic-hyperbolic type of the second kind
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 43-52

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We prove the unique solability of nonlocal boundary-value problem for a degenerate parabolic-hyperbolic equation of the second kind in the case when on the first part of a characteristic a nonlocal boundary condition is specified, while on parallel characteristic the Bitsadze–Samarskii condition is specified.
Keywords: degenerate parabolic-hyperbolic equation, nonlocal boundary-value problem, equation of the second kind, Bitsadze–Samarskii condition, uniqueness and existence of a solution, extremum principle, Fredholm integral equation. 
@article{IVM_2015_6_a5,
     author = {M. S. Salakhitdinov and N. B. Islamov},
     title = {Nonlocal boundary-value problem with {Bitsadze--Samarskii} condition for equation of parabolic-hyperbolic type of the second kind},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {43--52},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_6_a5/}
}
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M. S. Salakhitdinov; N. B. Islamov. Nonlocal boundary-value problem with Bitsadze--Samarskii condition for equation of parabolic-hyperbolic type of the second kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2015), pp. 43-52. http://geodesic.mathdoc.fr/item/IVM_2015_6_a5/