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.
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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/

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