Geodesic
Nonlocal problems for the equation of the mixed parabolic-hyperbolic type
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 108-117

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Boundary value problems with non-local conditions for partial differential equation are considered. In these problems, non-local conditions connect the values of a required solutions on the opposite sides of a rectangular domain. Criteria of uniqueness of each of the problems are obtained. Solutions to both problems are constructed as sums of Fourier series. The stability of solutions is proved.
Keywords: equation of the mixed type, non-local problems, uniqueness, stability. 
@article{VSGU_2011_8_a11,
     author = {G. R. Yunusova},
     title = {Nonlocal problems for the equation of the mixed parabolic-hyperbolic type},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {108--117},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a11/}
}
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G. R. Yunusova. Nonlocal problems for the equation of the mixed parabolic-hyperbolic type. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 108-117. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a11/